Atkin-Lehner |
2+ 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83030c |
Isogeny class |
Conductor |
83030 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-119895320 = -1 · 23 · 5 · 194 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -5 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,526] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:13:1] [22:94:1] |
Generators of the group modulo torsion |
j |
-361/920 |
j-invariant |
L |
8.5681545126688 |
L(r)(E,1)/r! |
Ω |
1.4976739481467 |
Real period |
R |
1.9069915102766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83030g1 |
Quadratic twists by: -19 |