Atkin-Lehner |
2- 3+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434bd |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-83805084 = -1 · 22 · 33 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-437] |
[a1,a2,a3,a4,a6] |
Generators |
[23:92:1] |
Generators of the group modulo torsion |
j |
-3267/212 |
j-invariant |
L |
10.087390912871 |
L(r)(E,1)/r! |
Ω |
0.84506179967445 |
Real period |
R |
2.9842169229028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434h1 115434d1 |
Quadratic twists by: -3 -11 |