Atkin-Lehner |
5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
42955c |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-47560876721875 = -1 · 55 · 118 · 71 |
Discriminant |
Eigenvalues |
0 0 5+ -3 11- -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73568,7687523] |
[a1,a2,a3,a4,a6] |
Generators |
[143:302:1] |
Generators of the group modulo torsion |
j |
-24856183701504/26846875 |
j-invariant |
L |
2.5047930307323 |
L(r)(E,1)/r! |
Ω |
0.63384490658485 |
Real period |
R |
1.9758721768658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3905a1 |
Quadratic twists by: -11 |