Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bp |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-783820800 = -1 · 211 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,1370] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-36:1] |
Generators of the group modulo torsion |
j |
-1250/21 |
j-invariant |
L |
5.8749593195514 |
L(r)(E,1)/r! |
Ω |
1.344781753829 |
Real period |
R |
0.54608854771635 |
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 |
12600bt1 100800nh1 8400g1 25200ca1 |
Quadratic twists by: -4 8 -3 5 |