Atkin-Lehner |
2- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240l |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-2080880000000000 = -1 · 213 · 510 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 6 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3437,2193362] |
[a1,a2,a3,a4,a6] |
Generators |
[4197:68750:27] |
Generators of the group modulo torsion |
j |
1096231710231/508027343750 |
j-invariant |
L |
8.9253060206639 |
L(r)(E,1)/r! |
Ω |
0.36130790756865 |
Real period |
R |
3.0878462087577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030b1 |
Quadratic twists by: -4 |