Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350ce |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-196763203125000 = -1 · 23 · 32 · 510 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6888,-712719] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1235:1] |
Generators of the group modulo torsion |
j |
-13225/72 |
j-invariant |
L |
9.6447256162789 |
L(r)(E,1)/r! |
Ω |
0.23555655671994 |
Real period |
R |
2.2746897698194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350bs1 79350cf1 |
Quadratic twists by: 5 -23 |