Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312bb |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-773794486812672 = -1 · 218 · 37 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 4 5 5 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15839,1101887] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/2951791713 |
j-invariant |
L |
9.6883443078845 |
L(r)(E,1)/r! |
Ω |
0.34601229457428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312ca1 1833c1 |
Quadratic twists by: -4 8 |