Atkin-Lehner |
2- 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240r |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-340931379200000000 = -1 · 225 · 58 · 19 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -2 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64640,-28774400] |
[a1,a2,a3,a4,a6] |
Generators |
[530:9250:1] [960:28160:1] |
Generators of the group modulo torsion |
j |
-7292467899768961/83235200000000 |
j-invariant |
L |
8.0997442574455 |
L(r)(E,1)/r! |
Ω |
0.12929920213767 |
Real period |
R |
0.97880344140001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030g1 |
Quadratic twists by: -4 |