Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25300h |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
632500000000 = 28 · 510 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-64537] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:22:1] |
Generators of the group modulo torsion |
j |
1638400/253 |
j-invariant |
L |
5.3951831530045 |
L(r)(E,1)/r! |
Ω |
0.63484437364294 |
Real period |
R |
2.8328114085899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200bg1 25300o1 |
Quadratic twists by: -4 5 |