Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12100c |
Isogeny class |
Conductor |
12100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-4287177620000000 = -1 · 28 · 57 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11092,-3121688] |
[a1,a2,a3,a4,a6] |
Generators |
[3639:24200:27] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
3.6739699031083 |
L(r)(E,1)/r! |
Ω |
0.21127294770856 |
Real period |
R |
2.8982807492675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400bv1 108900bs1 2420d1 12100d1 |
Quadratic twists by: -4 -3 5 -11 |