Atkin-Lehner |
3+ 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915f |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
507904 |
Modular degree for the optimal curve |
Δ |
-530956878662109375 = -1 · 34 · 516 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57715,35437880] |
[a1,a2,a3,a4,a6] |
j |
-21261322859003786161/530956878662109375 |
j-invariant |
L |
0.98107300506279 |
L(r)(E,1)/r! |
Ω |
0.24526825126354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101745m1 |
Quadratic twists by: -3 |