Atkin-Lehner |
2- 3+ 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578x |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
26979441552 = 24 · 33 · 74 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1430,19605] |
[a1,a2,a3,a4,a6] |
Generators |
[15:29:1] |
Generators of the group modulo torsion |
j |
11969701171875/999238576 |
j-invariant |
L |
8.6761692845669 |
L(r)(E,1)/r! |
Ω |
1.1584243056406 |
Real period |
R |
0.93620373470811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578b1 |
Quadratic twists by: -3 |