Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650cy |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
4692 |
Product of Tamagawa factors cp |
deg |
148642560 |
Modular degree for the optimal curve |
Δ |
-6.3276976176125E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,898602362,36840910753892] |
[a1,a2,a3,a4,a6] |
Generators |
[578732:440609834:1] |
Generators of the group modulo torsion |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
13.963082400498 |
L(r)(E,1)/r! |
Ω |
0.021055733608769 |
Real period |
R |
0.141336040376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3066a1 |
Quadratic twists by: 5 |