Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760d |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
135868504328000 = 26 · 53 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62453,-5981048] |
[a1,a2,a3,a4,a6] |
j |
8947094976/45125 |
j-invariant |
L |
2.4167574135353 |
L(r)(E,1)/r! |
Ω |
0.30209467691915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57760c1 115520cr2 3040d1 |
Quadratic twists by: -4 8 -19 |