Atkin-Lehner |
2+ 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360k |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1941760 = 28 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 6 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2527,48894] |
[a1,a2,a3,a4,a6] |
j |
6971070463056/7585 |
j-invariant |
L |
4.423684712744 |
L(r)(E,1)/r! |
Ω |
2.2118421743953 |
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 |
60680k1 |
Quadratic twists by: -4 |