Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1828915200000000 = -1 · 217 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151500,-22790000] |
[a1,a2,a3,a4,a6] |
Generators |
[450:400:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
7.1488466090033 |
L(r)(E,1)/r! |
Ω |
0.12096029706978 |
Real period |
R |
2.462532054371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gj1 25200ch1 11200de1 100800lh1 |
Quadratic twists by: -4 8 -3 5 |