Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530v |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-2.4772078125E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8374398,-9630953744] |
[a1,a2,a3,a4,a6] |
Generators |
[19520:2685552:1] |
Generators of the group modulo torsion |
j |
-64950788730335939358724441/2477207812500000000000 |
j-invariant |
L |
5.6780748712023 |
L(r)(E,1)/r! |
Ω |
0.044275195873392 |
Real period |
R |
0.94297833583696 |
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 |
76590bu1 127650cb1 |
Quadratic twists by: -3 5 |