Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578s |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
-1.5284337290599E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -3 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147726,186786004] |
[a1,a2,a3,a4,a6] |
Generators |
[1115:41117:1] |
Generators of the group modulo torsion |
j |
12119452073/519561216 |
j-invariant |
L |
1.9135190730123 |
L(r)(E,1)/r! |
Ω |
0.16764113519407 |
Real period |
R |
1.4267970915947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526u1 25578r1 |
Quadratic twists by: -3 -7 |