Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850c |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-39838392000000 = -1 · 29 · 39 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168117,26575541] |
[a1,a2,a3,a4,a6] |
Generators |
[79:3673:1] |
Generators of the group modulo torsion |
j |
-1708632808875/129536 |
j-invariant |
L |
5.591767183358 |
L(r)(E,1)/r! |
Ω |
0.61521598474934 |
Real period |
R |
2.2722780730419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850dm1 4554t1 |
Quadratic twists by: -3 5 |