Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150i |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-4361000000 = -1 · 26 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 -4 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1026,12948] |
[a1,a2,a3,a4,a6] |
Generators |
[21:17:1] |
Generators of the group modulo torsion |
j |
-7633736209/279104 |
j-invariant |
L |
5.048743057954 |
L(r)(E,1)/r! |
Ω |
1.3724081853076 |
Real period |
R |
0.91968685264405 |
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 |
1246i1 |
Quadratic twists by: 5 |