Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bi |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5637359847656250 = 2 · 38 · 59 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51201,-2618702] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:1386:1] |
Generators of the group modulo torsion |
j |
7600056301781/2886328242 |
j-invariant |
L |
5.8306141505258 |
L(r)(E,1)/r! |
Ω |
0.32767684321119 |
Real period |
R |
1.1121121066269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70350cv2 |
Quadratic twists by: 5 |