Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350m |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-9.698042368E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1127383,-110785459] |
[a1,a2,a3,a4,a6] |
Generators |
[21698725:993484868:15625] |
Generators of the group modulo torsion |
j |
137927116575/84410368 |
j-invariant |
L |
3.0898792244391 |
L(r)(E,1)/r! |
Ω |
0.10982861205253 |
Real period |
R |
14.066822690952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350bv1 8050k1 |
Quadratic twists by: 5 -7 |