Atkin-Lehner |
2- 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310i |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-10377808593750000 = -1 · 24 · 35 · 512 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,34515,4248915] |
[a1,a2,a3,a4,a6] |
j |
4547226203385942959/10377808593750000 |
j-invariant |
L |
1.6958880840401 |
L(r)(E,1)/r! |
Ω |
0.28264801400668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480ca1 33930l1 56550t1 |
Quadratic twists by: -4 -3 5 |