Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230f |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-234178560 = -1 · 211 · 33 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,-819] |
[a1,a2,a3,a4,a6] |
Generators |
[15:21:1] |
Generators of the group modulo torsion |
j |
-39397347/71680 |
j-invariant |
L |
3.5606349941253 |
L(r)(E,1)/r! |
Ω |
0.70283236376533 |
Real period |
R |
2.5330613519095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230dd1 76230cw1 |
Quadratic twists by: -3 -11 |