Atkin-Lehner |
2+ 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970r |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
12042453060 = 22 · 312 · 5 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-900,9180] |
[a1,a2,a3,a4,a6] |
Generators |
[6:60:1] |
Generators of the group modulo torsion |
j |
110661134401/16519140 |
j-invariant |
L |
4.4758497027458 |
L(r)(E,1)/r! |
Ω |
1.2169998078066 |
Real period |
R |
1.8388867799502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33990bg1 |
Quadratic twists by: -3 |