Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41292a |
Isogeny class |
Conductor |
41292 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-18315314352 = -1 · 24 · 36 · 31 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 3 6 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,576,3753] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] |
Generators of the group modulo torsion |
j |
1811939328/1570243 |
j-invariant |
L |
8.1602184342899 |
L(r)(E,1)/r! |
Ω |
0.79653373507395 |
Real period |
R |
1.7074435718515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4588a1 |
Quadratic twists by: -3 |