Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3472h |
Isogeny class |
Conductor |
3472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-7110656 = -1 · 215 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37819,2830826] |
[a1,a2,a3,a4,a6] |
j |
-1460474194254993/1736 |
j-invariant |
L |
2.9922247765101 |
L(r)(E,1)/r! |
Ω |
1.4961123882551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
434e1 13888x1 31248cm1 86800bn1 |
Quadratic twists by: -4 8 -3 5 |