Atkin-Lehner |
2- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514bd |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
2327424 |
Modular degree for the optimal curve |
Δ |
-7.7416366347738E+20 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2119978,617742291] |
[a1,a2,a3,a4,a6] |
Generators |
[417:39471:1] |
Generators of the group modulo torsion |
j |
4915597110728447/3611530625024 |
j-invariant |
L |
8.7757620850192 |
L(r)(E,1)/r! |
Ω |
0.10167719136622 |
Real period |
R |
1.488104075388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52514g1 |
Quadratic twists by: -11 |