Atkin-Lehner |
5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13775f |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-11746033320296875 = -1 · 56 · 197 · 292 |
Discriminant |
Eigenvalues |
-2 2 5+ 1 -3 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-59408,-7612532] |
[a1,a2,a3,a4,a6] |
Generators |
[9381:99442:27] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
3.5064670385294 |
L(r)(E,1)/r! |
Ω |
0.14932208251996 |
Real period |
R |
1.6773268032211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975bd1 551c1 |
Quadratic twists by: -3 5 |