Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370d |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
6687736941860 = 22 · 5 · 137 · 732 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8454,-272764] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:116:1] |
Generators of the group modulo torsion |
j |
13841287201/1385540 |
j-invariant |
L |
1.6364444269219 |
L(r)(E,1)/r! |
Ω |
0.50110833891076 |
Real period |
R |
1.6328249798457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490l1 |
Quadratic twists by: 13 |