Atkin-Lehner |
2+ 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254b |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20357568 |
Modular degree for the optimal curve |
Δ |
-2.0561135527366E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 11- 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63094042,-192937922540] |
[a1,a2,a3,a4,a6] |
Generators |
[396351091207:42972819318958:24137569] |
Generators of the group modulo torsion |
j |
-4818417798838782630121/356666874144768 |
j-invariant |
L |
2.523072807479 |
L(r)(E,1)/r! |
Ω |
0.026783698141527 |
Real period |
R |
15.700301442983 |
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 |
100254ba1 |
Quadratic twists by: -7 |