Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675y |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-307288114171875 = -1 · 36 · 56 · 175 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10350,-935719] |
[a1,a2,a3,a4,a6] |
Generators |
[6205:488712:1] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
3.1453107062658 |
L(r)(E,1)/r! |
Ω |
0.22041999157195 |
Real period |
R |
7.1348126909945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8075f1 2907b1 |
Quadratic twists by: -3 5 |