Atkin-Lehner |
2+ 5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550k |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-15128000000000 = -1 · 212 · 59 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2258,-183084] |
[a1,a2,a3,a4,a6] |
j |
651714363/7745536 |
j-invariant |
L |
1.3766142217606 |
L(r)(E,1)/r! |
Ω |
0.34415354999587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94550w1 |
Quadratic twists by: 5 |