Atkin-Lehner |
3+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115851o |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15489120 |
Modular degree for the optimal curve |
Δ |
-5.3818849167423E+23 |
Discriminant |
Eigenvalues |
0 3+ -3 4 -1 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,20335113,198456500] |
[a1,a2,a3,a4,a6] |
Generators |
[182078857379873518:22617189037821296698:13029302030291] |
Generators of the group modulo torsion |
j |
11875195630026752/6872452054371 |
j-invariant |
L |
4.2537137153134 |
L(r)(E,1)/r! |
Ω |
0.055262119193523 |
Real period |
R |
25.657803074938 |
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 |
115851n1 |
Quadratic twists by: -23 |