Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230be |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-145842290748000 = -1 · 25 · 316 · 53 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11655,759325] |
[a1,a2,a3,a4,a6] |
j |
-1985037003961/1653372000 |
j-invariant |
L |
1.0623326010497 |
L(r)(E,1)/r! |
Ω |
0.5311663167622 |
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 |
25410ce1 76230dm1 |
Quadratic twists by: -3 -11 |