Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bd |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-4274778543750000 = -1 · 24 · 314 · 58 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7542,-3153884] |
[a1,a2,a3,a4,a6] |
Generators |
[420:8014:1] |
Generators of the group modulo torsion |
j |
-4165509529/375289200 |
j-invariant |
L |
4.3018105561564 |
L(r)(E,1)/r! |
Ω |
0.19340534044646 |
Real period |
R |
5.5606150102358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bx1 12870bx1 |
Quadratic twists by: -3 5 |