Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230a |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1591913914986987900 = -1 · 22 · 39 · 52 · 73 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,137010,57445856] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:6076:1] |
Generators of the group modulo torsion |
j |
6128487/34300 |
j-invariant |
L |
3.0448585199162 |
L(r)(E,1)/r! |
Ω |
0.19286120234265 |
Real period |
R |
3.9469557440377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230cy1 76230cx1 |
Quadratic twists by: -3 -11 |