Atkin-Lehner |
2- 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970r |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-27414828606960 = -1 · 24 · 35 · 5 · 172 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4370,227867] |
[a1,a2,a3,a4,a6] |
Generators |
[21111:3056899:1] |
Generators of the group modulo torsion |
j |
9229152277032479/27414828606960 |
j-invariant |
L |
6.150839362935 |
L(r)(E,1)/r! |
Ω |
0.46938165651726 |
Real period |
R |
6.5520661891363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71910c1 119850v1 |
Quadratic twists by: -3 5 |