Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920r |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4459000000 = -1 · 26 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170,3268] |
[a1,a2,a3,a4,a6] |
Generators |
[6:50:1] |
Generators of the group modulo torsion |
j |
-24897088/203125 |
j-invariant |
L |
4.5188705080688 |
L(r)(E,1)/r! |
Ω |
1.1813183552085 |
Real period |
R |
0.63754624624496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920n1 101920h1 |
Quadratic twists by: -4 -7 |