Atkin-Lehner |
2- 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4602d |
Isogeny class |
Conductor |
4602 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-91773084 = -1 · 22 · 3 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,98,311] |
[a1,a2,a3,a4,a6] |
j |
104021936927/91773084 |
j-invariant |
L |
3.7221945397945 |
L(r)(E,1)/r! |
Ω |
1.2407315132648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36816v1 13806e1 115050w1 59826a1 |
Quadratic twists by: -4 -3 5 13 |