Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800om |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
1.0158317568E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2455500,1473050000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1316:49248:1] [-275:46125:1] |
Generators of the group modulo torsion |
j |
4386781853/27216 |
j-invariant |
L |
11.391088786495 |
L(r)(E,1)/r! |
Ω |
0.23014906794428 |
Real period |
R |
6.1867993252236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ht1 25200ey1 33600fl1 100800pl1 |
Quadratic twists by: -4 8 -3 5 |