Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bd |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1999494981225000000 = 26 · 34 · 58 · 72 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10474376,-13048586602] |
[a1,a2,a3,a4,a6] |
Generators |
[4206:129451:1] |
Generators of the group modulo torsion |
j |
8133699171984602252401/127967678798400 |
j-invariant |
L |
5.0505910537953 |
L(r)(E,1)/r! |
Ω |
0.083920474289131 |
Real period |
R |
3.7614413356792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998773 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070g3 |
Quadratic twists by: 5 |