Atkin-Lehner |
2+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810h |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-2.1494052615081E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -4 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-699434,-316758012] |
[a1,a2,a3,a4,a6] |
Generators |
[2852:143074:1] [1067:11749:1] |
Generators of the group modulo torsion |
j |
-1567728136054809/890481250000 |
j-invariant |
L |
7.154562706631 |
L(r)(E,1)/r! |
Ω |
0.080430681755873 |
Real period |
R |
1.3898930090981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4930a1 |
Quadratic twists by: 17 |