Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
92120h |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
990886937600 = 210 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4720,-113700] |
[a1,a2,a3,a4,a6] |
Generators |
[500106:3296544:4913] |
Generators of the group modulo torsion |
j |
96550276/8225 |
j-invariant |
L |
11.08601500612 |
L(r)(E,1)/r! |
Ω |
0.57910412522123 |
Real period |
R |
9.5716940341229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13160c1 |
Quadratic twists by: -7 |