Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224k |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4773605050368 = -1 · 211 · 32 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-105056] |
[a1,a2,a3,a4,a6] |
Generators |
[60:308:1] |
Generators of the group modulo torsion |
j |
-488281250/2330861841 |
j-invariant |
L |
6.1967056545853 |
L(r)(E,1)/r! |
Ω |
0.35013356253489 |
Real period |
R |
0.55306623650691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112v2 |
Quadratic twists by: -4 |