Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bp |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-8235430000 = -1 · 24 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -5 0 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,5263] |
[a1,a2,a3,a4,a6] |
Generators |
[9:49:1] |
Generators of the group modulo torsion |
j |
-6400/7 |
j-invariant |
L |
2.9282758691411 |
L(r)(E,1)/r! |
Ω |
1.1893694643547 |
Real period |
R |
1.231020282974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bq1 78400kv1 19600v1 2800m1 |
Quadratic twists by: -4 8 5 -7 |