Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350bd |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
5208121800 = 23 · 312 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1776,28438] |
[a1,a2,a3,a4,a6] |
Generators |
[8:117:1] |
Generators of the group modulo torsion |
j |
505318200625/4251528 |
j-invariant |
L |
3.8754212643273 |
L(r)(E,1)/r! |
Ω |
1.367817441357 |
Real period |
R |
0.23610736510779 |
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 |
58800gh1 22050ew1 7350cg1 7350c1 |
Quadratic twists by: -4 -3 5 -7 |