Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52390d |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
927712689800 = 23 · 52 · 136 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-180157,-29507499] |
[a1,a2,a3,a4,a6] |
Generators |
[323626791:-13251726473:185193] |
Generators of the group modulo torsion |
j |
133974081659809/192200 |
j-invariant |
L |
6.8957827174662 |
L(r)(E,1)/r! |
Ω |
0.23173225769624 |
Real period |
R |
14.878771704171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
310a2 |
Quadratic twists by: 13 |