Atkin-Lehner |
2- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408bd |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
582565888 = 214 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -3 2 -1 -1 -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2944,-61472] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1:1] |
Generators of the group modulo torsion |
j |
172233326592/35557 |
j-invariant |
L |
2.6954143344382 |
L(r)(E,1)/r! |
Ω |
0.64814247543478 |
Real period |
R |
2.079337828871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408s1 18352g1 |
Quadratic twists by: -4 8 |