Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cr |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-21070108800 = -1 · 27 · 34 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,652,2832] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:40:1] |
Generators of the group modulo torsion |
j |
1225984159895/842804352 |
j-invariant |
L |
11.409863474007 |
L(r)(E,1)/r! |
Ω |
0.76451183727263 |
Real period |
R |
0.17767116397274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150s1 |
Quadratic twists by: 5 |