Atkin-Lehner |
2+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
3074a |
Isogeny class |
Conductor |
3074 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-5705344 = -1 · 27 · 292 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -1 0 3 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35,149] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-4818245769/5705344 |
j-invariant |
L |
2.3306185707465 |
L(r)(E,1)/r! |
Ω |
2.1750245917657 |
Real period |
R |
0.53576832638349 |
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 |
24592d1 98368a1 27666h1 76850k1 |
Quadratic twists by: -4 8 -3 5 |