Atkin-Lehner |
3+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725d |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
438528 |
Modular degree for the optimal curve |
Δ |
-135273675 = -1 · 3 · 52 · 172 · 792 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 -2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261988,51701748] |
[a1,a2,a3,a4,a6] |
Generators |
[-3222:76615:8] [273:671:1] |
Generators of the group modulo torsion |
j |
-79548053964145807360/5410947 |
j-invariant |
L |
4.7883199802817 |
L(r)(E,1)/r! |
Ω |
1.0182712306778 |
Real period |
R |
1.1756003301673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725u1 |
Quadratic twists by: 5 |