Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800p |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
4179600000000 = 210 · 35 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87408,-9975312] |
[a1,a2,a3,a4,a6] |
Generators |
[468:7200:1] |
Generators of the group modulo torsion |
j |
4615962240676/261225 |
j-invariant |
L |
6.9205273885204 |
L(r)(E,1)/r! |
Ω |
0.2776596804688 |
Real period |
R |
2.4924495255616 |
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 |
51600e1 77400bm1 5160g1 |
Quadratic twists by: -4 -3 5 |