Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200ce |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
130411250000 = 24 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12200,518375] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:950:1] [61:34:1] |
Generators of the group modulo torsion |
j |
803273048064/521645 |
j-invariant |
L |
10.804777922177 |
L(r)(E,1)/r! |
Ω |
1.030058741146 |
Real period |
R |
5.2447387175443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32300j1 25840r1 |
Quadratic twists by: -4 5 |