Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13760v |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-176128000 = -1 · 215 · 53 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -3 2 -7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1375] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:40:1] [-1:40:1] |
Generators of the group modulo torsion |
j |
-38614472/5375 |
j-invariant |
L |
4.8861905051172 |
L(r)(E,1)/r! |
Ω |
1.7466530892794 |
Real period |
R |
0.23312158813469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13760s1 6880a1 123840fo1 68800cz1 |
Quadratic twists by: -4 8 -3 5 |