Atkin-Lehner |
2- 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11310l |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-149327343750 = -1 · 2 · 3 · 58 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,875,-15625] |
[a1,a2,a3,a4,a6] |
j |
74082708125999/149327343750 |
j-invariant |
L |
4.2906429441274 |
L(r)(E,1)/r! |
Ω |
0.53633036801592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90480bb1 33930h1 56550g1 |
Quadratic twists by: -4 -3 5 |