Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336be |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-163902667968 = -1 · 26 · 37 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 1 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1087,14121] |
[a1,a2,a3,a4,a6] |
Generators |
[40:351:1] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
7.341248614526 |
L(r)(E,1)/r! |
Ω |
0.68078575994612 |
Real period |
R |
0.38512475588835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bs1 1599b1 |
Quadratic twists by: -4 8 |