Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280cj |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-1.4391705941601E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,53040840,-105846652332] |
[a1,a2,a3,a4,a6] |
Generators |
[443717052:28187135958:205379] |
Generators of the group modulo torsion |
j |
4028978370557978310924359/3513600083398659932160 |
j-invariant |
L |
9.6050204988191 |
L(r)(E,1)/r! |
Ω |
0.038709259185266 |
Real period |
R |
15.508273553088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910k1 |
Quadratic twists by: -4 |