Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370db |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
27675648 |
Modular degree for the optimal curve |
Δ |
-1.4038449688931E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25715740,-187135777795] |
[a1,a2,a3,a4,a6] |
Generators |
[25773:4020793:1] |
Generators of the group modulo torsion |
j |
-15985732876331510135089/119324853495832320000 |
j-invariant |
L |
9.6663629318156 |
L(r)(E,1)/r! |
Ω |
0.029644648214834 |
Real period |
R |
1.8526958466447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bi1 |
Quadratic twists by: -7 |