Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322z |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
70644 = 22 · 3 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 2 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[-680:352:125] |
Generators of the group modulo torsion |
j |
95930521/84 |
j-invariant |
L |
11.058527864652 |
L(r)(E,1)/r! |
Ω |
1.5500175913968 |
Real period |
R |
3.5672265676309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966m1 35322i1 |
Quadratic twists by: -3 29 |