Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648v |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1226797830144 = -1 · 212 · 34 · 373 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 1 4 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1208,-50380] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1290:1] |
Generators of the group modulo torsion |
j |
47555965367/299511189 |
j-invariant |
L |
11.857812392436 |
L(r)(E,1)/r! |
Ω |
0.43133640821233 |
Real period |
R |
3.4363585229703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8103a1 |
Quadratic twists by: -4 |