Atkin-Lehner |
2- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704p |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
150871003136 = 212 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2099,-31950] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:70:1] |
Generators of the group modulo torsion |
j |
249689960073/36833741 |
j-invariant |
L |
8.0233927651573 |
L(r)(E,1)/r! |
Ω |
0.71229524989692 |
Real period |
R |
1.4080173857259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669a2 |
Quadratic twists by: -4 |