Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970q |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1638576950098E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252042975,1280553023245] |
[a1,a2,a3,a4,a6] |
Generators |
[5277:309529:1] |
Generators of the group modulo torsion |
j |
20645800966247918737249/3688936444974392640 |
j-invariant |
L |
3.9107090130712 |
L(r)(E,1)/r! |
Ω |
0.051757310444136 |
Real period |
R |
9.4448228199244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bs4 10710l5 |
Quadratic twists by: -3 -7 |