Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704d |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-31239502737408 = -1 · 212 · 33 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 -5 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32013,2231685] |
[a1,a2,a3,a4,a6] |
j |
-3136000/27 |
j-invariant |
L |
1.3250344988291 |
L(r)(E,1)/r! |
Ω |
0.66251724941457 |
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 |
4704m1 9408cr1 14112bw1 117600gu1 |
Quadratic twists by: -4 8 -3 5 |