Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230u |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-31614105600 = -1 · 211 · 36 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20895,1167821] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-29:1] |
Generators of the group modulo torsion |
j |
-11437987859001/358400 |
j-invariant |
L |
4.158141462159 |
L(r)(E,1)/r! |
Ω |
1.0919816453534 |
Real period |
R |
1.903942928242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bd1 76230dy1 |
Quadratic twists by: -3 -11 |