Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cc |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-283297494492020736 = -1 · 215 · 39 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36448,-25479936] |
[a1,a2,a3,a4,a6] |
Generators |
[490:10478:1] |
Generators of the group modulo torsion |
j |
270840023/14329224 |
j-invariant |
L |
3.1269366310578 |
L(r)(E,1)/r! |
Ω |
0.1475684407187 |
Real period |
R |
2.6487172797354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098x1 4368p1 |
Quadratic twists by: -4 13 |