Atkin-Lehner |
2+ 11+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34408c |
Isogeny class |
Conductor |
34408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18560 |
Modular degree for the optimal curve |
Δ |
-5862022144 = -1 · 210 · 114 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -2 2 0 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,3760] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1120:1] |
Generators of the group modulo torsion |
j |
-768400132/5724631 |
j-invariant |
L |
4.3069663722904 |
L(r)(E,1)/r! |
Ω |
1.1571627613857 |
Real period |
R |
3.7220056814943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68816f1 |
Quadratic twists by: -4 |