Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326g |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97440 |
Modular degree for the optimal curve |
Δ |
-1385510058242258004 = -1 · 22 · 329 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -4 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-998879,387987833] |
[a1,a2,a3,a4,a6] |
Generators |
[563:1832:1] |
Generators of the group modulo torsion |
j |
-110220502768046192851057/1385510058242258004 |
j-invariant |
L |
5.1048984488947 |
L(r)(E,1)/r! |
Ω |
0.27123332686029 |
Real period |
R |
4.7052647511898 |
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 |
34608bc1 12978i1 108150bn1 30282bs1 |
Quadratic twists by: -4 -3 5 -7 |