Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200dw |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-26790750000 = -1 · 24 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-8125] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5850:1] |
Generators of the group modulo torsion |
j |
-16384/147 |
j-invariant |
L |
5.7096642473247 |
L(r)(E,1)/r! |
Ω |
0.5021772046706 |
Real period |
R |
2.842454911444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6300p1 100800lq1 8400bj1 1008m1 |
Quadratic twists by: -4 8 -3 5 |