Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543h |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-8845002797931279 = -1 · 38 · 72 · 317 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30091,-4061892] |
[a1,a2,a3,a4,a6] |
Generators |
[456082:-9294699:1331] |
Generators of the group modulo torsion |
j |
4657463/13671 |
j-invariant |
L |
4.1526178142424 |
L(r)(E,1)/r! |
Ω |
0.21114995424641 |
Real period |
R |
9.8333381819662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20181c1 1953c1 |
Quadratic twists by: -3 -31 |