Atkin-Lehner |
2+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938b |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190944 |
Modular degree for the optimal curve |
Δ |
-18569466307942 = -1 · 2 · 113 · 178 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11+ -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5629,-128196] |
[a1,a2,a3,a4,a6] |
Generators |
[24:132:1] [32:275:1] |
Generators of the group modulo torsion |
j |
2125/2 |
j-invariant |
L |
4.4876185794329 |
L(r)(E,1)/r! |
Ω |
0.37636953130264 |
Real period |
R |
1.9872395815635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938k1 69938a1 |
Quadratic twists by: -11 17 |