Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640t |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-12952535040 = -1 · 219 · 34 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,304,-5184] |
[a1,a2,a3,a4,a6] |
j |
756058031/3162240 |
j-invariant |
L |
2.5537450757425 |
L(r)(E,1)/r! |
Ω |
0.63843626893562 |
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 |
1830j1 58560ed1 43920cb1 73200cm1 |
Quadratic twists by: -4 8 -3 5 |