Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200in |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-6027918750000 = -1 · 24 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5250,188125] |
[a1,a2,a3,a4,a6] |
Generators |
[50:225:1] |
Generators of the group modulo torsion |
j |
-71680/27 |
j-invariant |
L |
5.7193785268337 |
L(r)(E,1)/r! |
Ω |
0.71098427084087 |
Real period |
R |
0.67035924267258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ci1 88200cs1 88200hs1 |
Quadratic twists by: -3 5 -7 |