Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618ch |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-89270178816 = -1 · 210 · 3 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,930,-9276] |
[a1,a2,a3,a4,a6] |
Generators |
[20:122:1] |
Generators of the group modulo torsion |
j |
756058031/758784 |
j-invariant |
L |
13.405158033244 |
L(r)(E,1)/r! |
Ω |
0.58409411812974 |
Real period |
R |
2.2950339025788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482g1 |
Quadratic twists by: -7 |