Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
34760n |
Isogeny class |
Conductor |
34760 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1086250000 = 24 · 57 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340,1937] |
[a1,a2,a3,a4,a6] |
Generators |
[4:25:1] [-11:65:1] |
Generators of the group modulo torsion |
j |
272469058816/67890625 |
j-invariant |
L |
6.8332457901923 |
L(r)(E,1)/r! |
Ω |
1.4541970177915 |
Real period |
R |
0.33564158022757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69520l1 |
Quadratic twists by: -4 |