Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328f |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
149237692498944 = 210 · 32 · 78 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48624,4101084] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:1056:1] [-30:2352:1] |
Generators of the group modulo torsion |
j |
105534995332/1238769 |
j-invariant |
L |
7.7210876333973 |
L(r)(E,1)/r! |
Ω |
0.58086617042959 |
Real period |
R |
6.6461846346579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124656bc2 8904c2 |
Quadratic twists by: -4 -7 |