Atkin-Lehner |
2- 3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bf |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-682323840 = -1 · 27 · 32 · 5 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61,1265] |
[a1,a2,a3,a4,a6] |
Generators |
[26:119:1] |
Generators of the group modulo torsion |
j |
-25128011089/682323840 |
j-invariant |
L |
9.0661791670781 |
L(r)(E,1)/r! |
Ω |
1.3488150814228 |
Real period |
R |
0.16003780778627 |
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 |
88110bd1 |
Quadratic twists by: -3 |