Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bf |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
208320 |
Modular degree for the optimal curve |
Δ |
-9904012048465920 = -1 · 231 · 32 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17669,4871216] |
[a1,a2,a3,a4,a6] |
j |
-41663288909209/676457349120 |
j-invariant |
L |
2.0667503877113 |
L(r)(E,1)/r! |
Ω |
0.34445839795191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230fd1 127050fv1 25410cp1 |
Quadratic twists by: -3 5 -11 |