Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200de |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1260761978700000000 = -1 · 28 · 37 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,128625,51021250] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:1800:1] |
Generators of the group modulo torsion |
j |
560/3 |
j-invariant |
L |
7.3295378268731 |
L(r)(E,1)/r! |
Ω |
0.19635101169111 |
Real period |
R |
3.1107291689394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ej1 88200fp1 88200dq1 |
Quadratic twists by: -3 5 -7 |