Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850br |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
368874000000 = 27 · 36 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10692,427216] |
[a1,a2,a3,a4,a6] |
Generators |
[53:59:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
4.7747497225615 |
L(r)(E,1)/r! |
Ω |
0.95733002137922 |
Real period |
R |
2.4937845903563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650s1 4554bi1 |
Quadratic twists by: -3 5 |