Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344ec |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-39076943510528 = -1 · 210 · 72 · 112 · 235 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11+ -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14649,750673] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1067:1] [256:-3703:1] |
Generators of the group modulo torsion |
j |
-339529363149568/38161077647 |
j-invariant |
L |
8.0837450981642 |
L(r)(E,1)/r! |
Ω |
0.62947029852854 |
Real period |
R |
0.64210695224872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344p1 28336bs1 |
Quadratic twists by: -4 8 |