Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224t |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
738544895649792 = 211 · 33 · 7 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22624,-85228] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:726:1] |
Generators of the group modulo torsion |
j |
625347088535234/360617624829 |
j-invariant |
L |
6.4003942745535 |
L(r)(E,1)/r! |
Ω |
0.42434584010526 |
Real period |
R |
1.2569139111559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112p3 |
Quadratic twists by: -4 |