Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cv |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
1.9245806953326E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22789163,41874012667] |
[a1,a2,a3,a4,a6] |
Generators |
[3163:-39382:1] |
Generators of the group modulo torsion |
j |
37537160298467283/5519360000 |
j-invariant |
L |
10.077393134706 |
L(r)(E,1)/r! |
Ω |
0.17301683190712 |
Real period |
R |
1.0400921509139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230k1 6930a1 |
Quadratic twists by: -3 -11 |