Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224v |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
1.3703512668116E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1515304,444747716] |
[a1,a2,a3,a4,a6] |
Generators |
[-1225:21546:1] |
Generators of the group modulo torsion |
j |
375771078331797453988/133823365899575121 |
j-invariant |
L |
5.9443997208342 |
L(r)(E,1)/r! |
Ω |
0.16898421532476 |
Real period |
R |
1.4657186842856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998005 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
35112n3 |
Quadratic twists by: -4 |