Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360n |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-25233618348040960 = -1 · 28 · 5 · 11 · 1311 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35828,-8076172] |
[a1,a2,a3,a4,a6] |
Generators |
[532:11110:1] |
Generators of the group modulo torsion |
j |
-4116151296/20421115 |
j-invariant |
L |
3.6498261510578 |
L(r)(E,1)/r! |
Ω |
0.15670021885027 |
Real period |
R |
5.8229436062326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5720b1 |
Quadratic twists by: 13 |