Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312v |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-6724517888 = -1 · 220 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 2 11+ -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,3935] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-64:1] |
Generators of the group modulo torsion |
j |
-15625/25652 |
j-invariant |
L |
7.0956312849408 |
L(r)(E,1)/r! |
Ω |
1.0727004367193 |
Real period |
R |
0.82684212689445 |
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 |
37312r1 9328l1 |
Quadratic twists by: -4 8 |