Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090by |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2560320 |
Modular degree for the optimal curve |
Δ |
9.5250460326017E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5210220,4574697462] |
[a1,a2,a3,a4,a6] |
j |
55374714756738769/33719931450 |
j-invariant |
L |
6.8283465031565 |
L(r)(E,1)/r! |
Ω |
0.22761155026438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69090bc1 |
Quadratic twists by: -7 |