Atkin-Lehner |
2- 3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bm |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-82063373250000 = -1 · 24 · 3 · 56 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -5 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9487,-247969] |
[a1,a2,a3,a4,a6] |
Generators |
[25:62:1] |
Generators of the group modulo torsion |
j |
6043486088375/5252055888 |
j-invariant |
L |
6.811862694968 |
L(r)(E,1)/r! |
Ω |
0.33493089280321 |
Real period |
R |
2.5422642555482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346e1 |
Quadratic twists by: 5 |