Atkin-Lehner |
2- 3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bl |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5780160 |
Modular degree for the optimal curve |
Δ |
683552573051168700 = 22 · 315 · 52 · 113 · 713 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10047648,12254457861] |
[a1,a2,a3,a4,a6] |
Generators |
[1221:41915:1] |
Generators of the group modulo torsion |
j |
4487215654498648835147305/27342102922046748 |
j-invariant |
L |
7.8487211676481 |
L(r)(E,1)/r! |
Ω |
0.25529044553933 |
Real period |
R |
5.1240468294288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150be1 |
Quadratic twists by: 5 |