Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200br |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-135025380000000000 = -1 · 211 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-721875,-236731250] |
[a1,a2,a3,a4,a6] |
Generators |
[1765610:63188559:1000] |
Generators of the group modulo torsion |
j |
-8318750/27 |
j-invariant |
L |
6.1776839293761 |
L(r)(E,1)/r! |
Ω |
0.081878458358941 |
Real period |
R |
9.4311801515978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dx1 88200hu1 88200bp1 |
Quadratic twists by: -3 5 -7 |