Atkin-Lehner |
2+ 3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232a |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-10230191695872 = -1 · 211 · 39 · 193 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8235,-326214] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6156:1] |
Generators of the group modulo torsion |
j |
-1532121750/253783 |
j-invariant |
L |
6.9391350147745 |
L(r)(E,1)/r! |
Ω |
0.2483303161321 |
Real period |
R |
1.1642985444706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50616f1 101232b1 |
Quadratic twists by: -4 -3 |