Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344ed |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
13358615114160576 = 26 · 39 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59319,0] |
[a1,a2,a3,a4,a6] |
Generators |
[768136075091150:-15015338277319385:1534404421304] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.4385831151189 |
L(r)(E,1)/r! |
Ω |
0.33602667966521 |
Real period |
R |
25.112836657471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ed1 48672h2 97344eg1 97344ef1 |
Quadratic twists by: -4 8 -3 13 |