Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440n |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-1038960 = -1 · 24 · 33 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -5 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,207] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
-1518013696/64935 |
j-invariant |
L |
5.0889574262633 |
L(r)(E,1)/r! |
Ω |
2.7441523821558 |
Real period |
R |
1.854473331366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57720p1 |
Quadratic twists by: -4 |