Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740c |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
8905123002960 = 24 · 314 · 5 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27001,-1692710] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:17:1] |
Generators of the group modulo torsion |
j |
136069052387344384/556570187685 |
j-invariant |
L |
3.8911892692511 |
L(r)(E,1)/r! |
Ω |
0.37252902363837 |
Real period |
R |
3.4817772775974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113220k1 |
Quadratic twists by: -3 |