Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425c |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
743424 |
Modular degree for the optimal curve |
Δ |
-18629844169921875 = -1 · 311 · 510 · 112 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,65992,718793] |
[a1,a2,a3,a4,a6] |
Generators |
[44281594:6270664649:5639752] |
Generators of the group modulo torsion |
j |
2034093803761664/1192310026875 |
j-invariant |
L |
12.328710103567 |
L(r)(E,1)/r! |
Ω |
0.23460145890443 |
Real period |
R |
13.137929917386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14685h1 |
Quadratic twists by: 5 |