Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350t |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
3293544160296000 = 26 · 38 · 53 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1503765,-710392275] |
[a1,a2,a3,a4,a6] |
j |
623295446073461/5458752 |
j-invariant |
L |
0.54533672227257 |
L(r)(E,1)/r! |
Ω |
0.13633418056813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050ge1 25350dm1 1950u1 |
Quadratic twists by: -3 5 13 |