Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350cm |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-20313600000000 = -1 · 215 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6313,-292969] |
[a1,a2,a3,a4,a6] |
Generators |
[175:-2088:1] |
Generators of the group modulo torsion |
j |
-3366353209/2457600 |
j-invariant |
L |
10.807905653629 |
L(r)(E,1)/r! |
Ω |
0.2595096601649 |
Real period |
R |
0.69412352827357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870t1 79350cp1 |
Quadratic twists by: 5 -23 |