Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860m |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7249920 |
Modular degree for the optimal curve |
Δ |
2233795990781250000 = 24 · 314 · 510 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58823112,173648114341] |
[a1,a2,a3,a4,a6] |
Generators |
[35266:18225:8] |
Generators of the group modulo torsion |
j |
1929835058240580006313984/191512001953125 |
j-invariant |
L |
4.8222623328956 |
L(r)(E,1)/r! |
Ω |
0.19984473956756 |
Real period |
R |
1.2065021934063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620g1 |
Quadratic twists by: -3 |