Atkin-Lehner |
2+ 3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150x |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-1546380000000000 = -1 · 211 · 32 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45951,4233298] |
[a1,a2,a3,a4,a6] |
Generators |
[118:617:1] |
Generators of the group modulo torsion |
j |
-1098740122225/158349312 |
j-invariant |
L |
7.1476854478027 |
L(r)(E,1)/r! |
Ω |
0.46046598594241 |
Real period |
R |
3.8806804710413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150bu1 |
Quadratic twists by: 5 |