Atkin-Lehner |
2+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400f |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-294017900000000000 = -1 · 211 · 511 · 113 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-266408,-59095312] |
[a1,a2,a3,a4,a6] |
j |
-65345720452418/9188059375 |
j-invariant |
L |
2.5021788902714 |
L(r)(E,1)/r! |
Ω |
0.10425744926483 |
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 |
20680g1 |
Quadratic twists by: 5 |