Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
4326h |
Isogeny class |
Conductor |
4326 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-24894335090688 = -1 · 225 · 3 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 3 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3410,-226069] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6103:1] |
Generators of the group modulo torsion |
j |
4385093815095839/24894335090688 |
j-invariant |
L |
3.6347255249609 |
L(r)(E,1)/r! |
Ω |
0.33667330271379 |
Real period |
R |
0.21592003260507 |
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 |
34608be1 12978j1 108150bk1 30282bu1 |
Quadratic twists by: -4 -3 5 -7 |