Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090be |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
8568000 |
Modular degree for the optimal curve |
Δ |
1.58236219008E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55309976,158291779673] |
[a1,a2,a3,a4,a6] |
Generators |
[4621:35189:1] |
Generators of the group modulo torsion |
j |
381889785767789804863506001/32293105920000000000 |
j-invariant |
L |
7.9707512628687 |
L(r)(E,1)/r! |
Ω |
0.14349215036552 |
Real period |
R |
1.6337748098384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090bv1 |
Quadratic twists by: -7 |