Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
730f |
Isogeny class |
Conductor |
730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8326562500 = -1 · 22 · 58 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-929,11985] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:127:1] |
Generators of the group modulo torsion |
j |
-88722503613801/8326562500 |
j-invariant |
L |
1.7537639411641 |
L(r)(E,1)/r! |
Ω |
1.2785562689261 |
Real period |
R |
0.17145940149326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5840k2 23360e2 6570x2 3650i2 |
Quadratic twists by: -4 8 -3 5 |