Atkin-Lehner |
2- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62900a |
Isogeny class |
Conductor |
62900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
1069300000000 = 28 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -1 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11200,-453500] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:34:1] [-60:50:1] |
Generators of the group modulo torsion |
j |
38843449344/267325 |
j-invariant |
L |
6.3754702066203 |
L(r)(E,1)/r! |
Ω |
0.46427485947779 |
Real period |
R |
1.1443419195292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12580b1 |
Quadratic twists by: 5 |