Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3660b |
Isogeny class |
Conductor |
3660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
137250000 = 24 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,-270] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
19513606144/8578125 |
j-invariant |
L |
2.8528018642807 |
L(r)(E,1)/r! |
Ω |
1.4417810041805 |
Real period |
R |
1.9786651759241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640be1 58560bn1 10980i1 18300k1 |
Quadratic twists by: -4 8 -3 5 |