Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350s |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1317120 |
Modular degree for the optimal curve |
Δ |
-1160166201250000000 = -1 · 27 · 510 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1424701,-656702952] |
[a1,a2,a3,a4,a6] |
Generators |
[211347478:12911542818:50653] |
Generators of the group modulo torsion |
j |
-811543975/2944 |
j-invariant |
L |
2.1705998453817 |
L(r)(E,1)/r! |
Ω |
0.069078731088039 |
Real period |
R |
15.71105759369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350by1 56350p1 |
Quadratic twists by: 5 -7 |