Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3680c |
Isogeny class |
Conductor |
3680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-11776000 = -1 · 212 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -2 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,-523] |
[a1,a2,a3,a4,a6] |
Generators |
[19:60:1] |
Generators of the group modulo torsion |
j |
-53157376/2875 |
j-invariant |
L |
4.7529251227554 |
L(r)(E,1)/r! |
Ω |
0.71119631647112 |
Real period |
R |
1.1138333660901 |
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 |
3680j1 7360e1 33120bc1 18400p1 |
Quadratic twists by: -4 8 -3 5 |