Atkin-Lehner |
2+ 3+ 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370g |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-2176017750 = -1 · 2 · 33 · 53 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,141,2115] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] |
Generators of the group modulo torsion |
j |
11436248277/80593250 |
j-invariant |
L |
2.937877933021 |
L(r)(E,1)/r! |
Ω |
1.064598550079 |
Real period |
R |
1.3798055319775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848617 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80370be2 |
Quadratic twists by: -3 |