Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400j |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-289608540000000 = -1 · 28 · 3 · 57 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15492,-350988] |
[a1,a2,a3,a4,a6] |
Generators |
[13123726:-156346000:456533] |
Generators of the group modulo torsion |
j |
21296/15 |
j-invariant |
L |
6.969553351263 |
L(r)(E,1)/r! |
Ω |
0.30882419898129 |
Real period |
R |
11.28401426144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280bf1 600f1 |
Quadratic twists by: 5 13 |