Atkin-Lehner |
3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100725q |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-98614509075 = -1 · 37 · 52 · 172 · 792 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-293,15134] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:76:1] [4:-119:1] |
Generators of the group modulo torsion |
j |
-111652372480/3944580363 |
j-invariant |
L |
10.970439768349 |
L(r)(E,1)/r! |
Ω |
0.88742497277915 |
Real period |
R |
0.44150371279978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725g1 |
Quadratic twists by: 5 |