Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bm |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
293336487628800 = 212 · 3 · 52 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104486,12930083] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:5183:1] |
Generators of the group modulo torsion |
j |
71210194441849/165580800 |
j-invariant |
L |
6.2982179134032 |
L(r)(E,1)/r! |
Ω |
0.54821924602075 |
Real period |
R |
0.95737516804316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230by1 127050dq1 2310c1 |
Quadratic twists by: -3 5 -11 |