Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840n |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
40219200 = 26 · 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4270,108832] |
[a1,a2,a3,a4,a6] |
Generators |
[24:140:1] |
Generators of the group modulo torsion |
j |
134564055534784/628425 |
j-invariant |
L |
4.0539541517197 |
L(r)(E,1)/r! |
Ω |
1.8030185621877 |
Real period |
R |
1.1242130936761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840u1 127680fq1 |
Quadratic twists by: -4 8 |