Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410m |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-1.5590898935979E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40274852,-115287257136] |
[a1,a2,a3,a4,a6] |
Generators |
[892687437763665714878529932395743147140440:-186492540473252137383793123773472351744266924:20105743589844779081224879090306258447] |
Generators of the group modulo torsion |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
3.6207459516172 |
L(r)(E,1)/r! |
Ω |
0.029622976295095 |
Real period |
R |
61.113811042288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230dl1 127050hz1 2310o1 |
Quadratic twists by: -3 5 -11 |