Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680l |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-3305767485440 = -1 · 214 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23781,-1422205] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
3.4595943758363 |
L(r)(E,1)/r! |
Ω |
0.19219968754646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680cm1 1960m1 78400bw1 15680bs1 |
Quadratic twists by: -4 8 5 -7 |