Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230g |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
4.8009540254478E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5580240,5064162560] |
[a1,a2,a3,a4,a6] |
Generators |
[-2144:85744:1] |
Generators of the group modulo torsion |
j |
551105805571803/1376829440 |
j-invariant |
L |
3.6351648973773 |
L(r)(E,1)/r! |
Ω |
0.20167185189258 |
Real period |
R |
1.802514758745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230de1 630g1 |
Quadratic twists by: -3 -11 |