Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bc |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
25843857732 = 22 · 310 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1181,-13660] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:43:1] |
Generators of the group modulo torsion |
j |
530457457375/75346524 |
j-invariant |
L |
4.729146827831 |
L(r)(E,1)/r! |
Ω |
0.82218382939248 |
Real period |
R |
0.57519336228033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93786a1 |
Quadratic twists by: -7 |