Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230d |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
377448644369420 = 22 · 5 · 137 · 673 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 6 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99995,12159785] |
[a1,a2,a3,a4,a6] |
Generators |
[166:255:1] [556:11045:1] |
Generators of the group modulo torsion |
j |
22908723765201/78198380 |
j-invariant |
L |
7.8095152363917 |
L(r)(E,1)/r! |
Ω |
0.53786756420015 |
Real period |
R |
0.6049750714349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710l1 |
Quadratic twists by: 13 |