Atkin-Lehner |
2+ 3+ 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
23790c |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-286647987201638400 = -1 · 218 · 35 · 52 · 13 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3175187,2176550061] |
[a1,a2,a3,a4,a6] |
Generators |
[931:4872:1] |
Generators of the group modulo torsion |
j |
-3540233026239439300227001/286647987201638400 |
j-invariant |
L |
3.4360913855634 |
L(r)(E,1)/r! |
Ω |
0.2939285918157 |
Real period |
R |
2.9225562613163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370v1 118950bv1 |
Quadratic twists by: -3 5 |