Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70756b |
Isogeny class |
Conductor |
70756 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
393984 |
Modular degree for the optimal curve |
Δ |
31969587331369744 = 24 · 76 · 198 |
Discriminant |
Eigenvalues |
2- 1 1 7- -4 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112030,-11626259] |
[a1,a2,a3,a4,a6] |
Generators |
[3369:194579:1] |
Generators of the group modulo torsion |
j |
4864 |
j-invariant |
L |
7.3206647431075 |
L(r)(E,1)/r! |
Ω |
0.26472762626308 |
Real period |
R |
2.3044644183328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1444a1 70756g1 |
Quadratic twists by: -7 -19 |