Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600bz |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1828915200 = -1 · 211 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,22790] |
[a1,a2,a3,a4,a6] |
j |
-10303010/49 |
j-invariant |
L |
2.9853907537279 |
L(r)(E,1)/r! |
Ω |
1.4926953768639 |
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 |
25200z1 100800eu1 1400b1 12600z1 |
Quadratic twists by: -4 8 -3 5 |