Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350r |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-15876000000000 = -1 · 211 · 34 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2425,187125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:545:1] |
Generators of the group modulo torsion |
j |
16468459/165888 |
j-invariant |
L |
2.3039203357902 |
L(r)(E,1)/r! |
Ω |
0.51258375567042 |
Real period |
R |
1.1236799402552 |
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 |
58800kd1 22050ft1 7350da1 7350bg1 |
Quadratic twists by: -4 -3 5 -7 |