Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350p |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
218840048367754500 = 22 · 35 · 53 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-267420,48123900] |
[a1,a2,a3,a4,a6] |
Generators |
[1270:24285:8] |
Generators of the group modulo torsion |
j |
9393931/972 |
j-invariant |
L |
4.0229814921202 |
L(r)(E,1)/r! |
Ω |
0.30587871463262 |
Real period |
R |
6.576105655834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79350ds1 79350q1 |
Quadratic twists by: 5 -23 |