Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352bc |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-717671269269504 = -1 · 217 · 39 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21256,-495504] |
[a1,a2,a3,a4,a6] |
Generators |
[170460:3023776:729] |
Generators of the group modulo torsion |
j |
17709945143/11967264 |
j-invariant |
L |
9.1211136278098 |
L(r)(E,1)/r! |
Ω |
0.28811957137938 |
Real period |
R |
7.9143474815494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794s1 110352bn1 |
Quadratic twists by: -4 -11 |