Atkin-Lehner |
2+ 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010b |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61152 |
Modular degree for the optimal curve |
Δ |
782621274240 = 27 · 313 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -5 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17738,900948] |
[a1,a2,a3,a4,a6] |
j |
617271064524871849/782621274240 |
j-invariant |
L |
0.8939936678208 |
L(r)(E,1)/r! |
Ω |
0.89399366782081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69030br1 115050bx1 |
Quadratic twists by: -3 5 |