Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13760s |
Isogeny class |
Conductor |
13760 |
Conductor |
∏ cp |
6 |
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 |
[35:180:1] |
Generators of the group modulo torsion |
j |
-38614472/5375 |
j-invariant |
L |
7.3633803457945 |
L(r)(E,1)/r! |
Ω |
0.61139094646312 |
Real period |
R |
2.0072754834397 |
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 |
13760v1 6880d1 123840es1 68800dt1 |
Quadratic twists by: -4 8 -3 5 |