Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11248m |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1689894300928 = 28 · 194 · 373 |
Discriminant |
Eigenvalues |
2- 1 2 3 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3277,-37193] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:190:1] |
Generators of the group modulo torsion |
j |
15207071653888/6601149613 |
j-invariant |
L |
6.3305675984172 |
L(r)(E,1)/r! |
Ω |
0.65644773308552 |
Real period |
R |
1.2054591857339 |
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 |
2812a1 44992ba1 101232bj1 |
Quadratic twists by: -4 8 -3 |