Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446h |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-1180476655896384 = -1 · 26 · 37 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8452,-1622256] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7452:1] |
Generators of the group modulo torsion |
j |
567457901639/10033886016 |
j-invariant |
L |
2.9917748803571 |
L(r)(E,1)/r! |
Ω |
0.23732561360434 |
Real period |
R |
3.151550769285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778i1 |
Quadratic twists by: -7 |