Atkin-Lehner |
2- 5+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050m |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
1528426143158300 = 22 · 52 · 237 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 1 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87310,-9728223] |
[a1,a2,a3,a4,a6] |
Generators |
[-23595:12189:125] |
Generators of the group modulo torsion |
j |
2944225059413418585/61137045726332 |
j-invariant |
L |
8.699337837285 |
L(r)(E,1)/r! |
Ω |
0.27808802758122 |
Real period |
R |
7.820669151688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050i1 |
Quadratic twists by: 5 |