Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970j |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9100008747666900 = 22 · 33 · 52 · 79 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52929,963353] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:1819:1] |
Generators of the group modulo torsion |
j |
15050927709/8352100 |
j-invariant |
L |
4.9314390041172 |
L(r)(E,1)/r! |
Ω |
0.35613101029093 |
Real period |
R |
1.7309076087994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970ca2 74970f2 |
Quadratic twists by: -3 -7 |