Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bg |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
22307768072100 = 22 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7065,-22919] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:416:1] [-64:437:1] |
Generators of the group modulo torsion |
j |
454756609/260100 |
j-invariant |
L |
7.4609851718075 |
L(r)(E,1)/r! |
Ω |
0.56427733641355 |
Real period |
R |
1.6527744183316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990bp2 1530e2 |
Quadratic twists by: -3 -7 |