Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bn |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
1559386200 = 23 · 3 · 52 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3773,87611] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:400:1] |
Generators of the group modulo torsion |
j |
237602668109305/62375448 |
j-invariant |
L |
7.1664973575926 |
L(r)(E,1)/r! |
Ω |
1.4690801580505 |
Real period |
R |
0.27101226567074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650bb1 |
Quadratic twists by: 5 |