Atkin-Lehner |
2+ 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958d |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-225276805955474208 = -1 · 25 · 39 · 13 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5901040,-5519989088] |
[a1,a2,a3,a4,a6] |
j |
-25605858405543625/253831968 |
j-invariant |
L |
0.8717855447509 |
L(r)(E,1)/r! |
Ω |
0.048432529481321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418b1 |
Quadratic twists by: -31 |