Atkin-Lehner |
7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997j |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199800 |
Modular degree for the optimal curve |
Δ |
-478364484059 = -1 · 72 · 11 · 316 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-85849,-9653183] |
[a1,a2,a3,a4,a6] |
j |
-78843215872/539 |
j-invariant |
L |
2.5101961524596 |
L(r)(E,1)/r! |
Ω |
0.13945534009015 |
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 |
77b3 |
Quadratic twists by: -31 |