Atkin-Lehner |
3+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2409b |
Isogeny class |
Conductor |
2409 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-7484100287210019 = -1 · 325 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3+ -1 2 11+ 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-152241,-23188750] |
[a1,a2,a3,a4,a6] |
j |
-390230714139735752704/7484100287210019 |
j-invariant |
L |
0.96567860355408 |
L(r)(E,1)/r! |
Ω |
0.12070982544426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38544q1 7227h1 60225p1 118041g1 |
Quadratic twists by: -4 -3 5 -7 |