Atkin-Lehner |
3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100725r |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-135273675 = -1 · 3 · 52 · 172 · 792 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -4 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38,554] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [24:118:1] |
Generators of the group modulo torsion |
j |
-249180160/5410947 |
j-invariant |
L |
6.8190623468178 |
L(r)(E,1)/r! |
Ω |
1.5494707572165 |
Real period |
R |
1.1002244338916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725h1 |
Quadratic twists by: 5 |