Atkin-Lehner |
2- 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150ce |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-184704000 = -1 · 210 · 3 · 53 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,97,581] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:22:1] [5:32:1] |
Generators of the group modulo torsion |
j |
806954491/1477632 |
j-invariant |
L |
12.055000659078 |
L(r)(E,1)/r! |
Ω |
1.2357048001136 |
Real period |
R |
1.9511133497165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72150bk1 |
Quadratic twists by: 5 |