Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200r |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 3 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1450,-21250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1636950:81775:74088] |
Generators of the group modulo torsion |
j |
337153536/37 |
j-invariant |
L |
11.505711397834 |
L(r)(E,1)/r! |
Ω |
0.77367829632505 |
Real period |
R |
7.4357206685305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200t1 29600i1 2368i1 |
Quadratic twists by: -4 8 5 |