Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578l |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.8478038357207E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32221994436,-2226004296187568] |
[a1,a2,a3,a4,a6] |
Generators |
[20057275580115294571642991947908696640733293069959099192051010176840727357640:-2485360716815865302139747052333900365688777012623241884613019544331785271753636:93642684309473264470829469403582066810016575648111099066826428968377125] |
Generators of the group modulo torsion |
j |
43138515777213631193352207793/5652352909513890349056 |
j-invariant |
L |
4.7800109266292 |
L(r)(E,1)/r! |
Ω |
0.011268467712901 |
Real period |
R |
106.04837872404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8526r2 3654g2 |
Quadratic twists by: -3 -7 |