Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bk |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-1.1625757643245E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2401633,1522780415] |
[a1,a2,a3,a4,a6] |
Generators |
[-1495:42120:1] [1571:40368:1] |
Generators of the group modulo torsion |
j |
-11687830210426531250/886974917850099 |
j-invariant |
L |
11.109027791978 |
L(r)(E,1)/r! |
Ω |
0.18334105949009 |
Real period |
R |
0.11220767320852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384cl1 9048b1 |
Quadratic twists by: -4 8 |