Atkin-Lehner |
2- 7- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286s |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
356400 |
Modular degree for the optimal curve |
Δ |
-328309417016 = -1 · 23 · 76 · 173 · 71 |
Discriminant |
Eigenvalues |
2- -3 1 7- 0 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11892,502863] |
[a1,a2,a3,a4,a6] |
j |
-1580759992449/2790584 |
j-invariant |
L |
2.8916784944195 |
L(r)(E,1)/r! |
Ω |
0.96389301343107 |
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 |
2414g1 |
Quadratic twists by: -7 |