Atkin-Lehner |
3- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
100425i |
Isogeny class |
Conductor |
100425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
1569140625 = 3 · 58 · 13 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52313,4600992] |
[a1,a2,a3,a4,a6] |
Generators |
[4431:15745:27] |
Generators of the group modulo torsion |
j |
1013288430066121/100425 |
j-invariant |
L |
3.6689258117548 |
L(r)(E,1)/r! |
Ω |
1.1573158154884 |
Real period |
R |
6.3404055766553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999632531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20085d1 |
Quadratic twists by: 5 |