Atkin-Lehner |
3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
95139h |
Isogeny class |
Conductor |
95139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-69356331 = -1 · 38 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- -3 2 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,108] |
[a1,a2,a3,a4,a6] |
Generators |
[6:105:8] [12:48:1] |
Generators of the group modulo torsion |
j |
152303/99 |
j-invariant |
L |
11.732424618538 |
L(r)(E,1)/r! |
Ω |
1.2188824779695 |
Real period |
R |
2.4063896295213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31713f1 95139c1 |
Quadratic twists by: -3 -31 |