Atkin-Lehner |
2- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910o |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8952800000 = -1 · 28 · 55 · 192 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -4 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,515,915] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] [3:48:1] |
Generators of the group modulo torsion |
j |
41839404119/24800000 |
j-invariant |
L |
13.027718161107 |
L(r)(E,1)/r! |
Ω |
0.79297362249559 |
Real period |
R |
0.41072356617437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111910h1 |
Quadratic twists by: -19 |