Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794z |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-423442818656352 = -1 · 25 · 32 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11- -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-76172,8120333] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-449:1] |
Generators of the group modulo torsion |
j |
-228017753953/1975392 |
j-invariant |
L |
6.7705858808456 |
L(r)(E,1)/r! |
Ω |
0.53315066156089 |
Real period |
R |
0.42330660411722 |
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 |
110352ci1 41382s1 13794g1 |
Quadratic twists by: -4 -3 -11 |