Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94380s |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
60440700949200 = 24 · 38 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9841,-39316] |
[a1,a2,a3,a4,a6] |
Generators |
[104:270:1] |
Generators of the group modulo torsion |
j |
3718856704/2132325 |
j-invariant |
L |
8.8601276796557 |
L(r)(E,1)/r! |
Ω |
0.52016824713271 |
Real period |
R |
2.1291494951609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
780c1 |
Quadratic twists by: -11 |