Atkin-Lehner |
2+ 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482l |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-6548148862807179264 = -1 · 227 · 3 · 79 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -5 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6248946,-6016408908] |
[a1,a2,a3,a4,a6] |
Generators |
[255037314067689476280908670049:1692659995136973855140886890246:87674582723498004483649763] |
Generators of the group modulo torsion |
j |
-229380183522087218713/55658346971136 |
j-invariant |
L |
4.4168583589612 |
L(r)(E,1)/r! |
Ω |
0.047743201192584 |
Real period |
R |
46.256411893546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926s1 |
Quadratic twists by: -7 |