Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020y |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-252107710955654400 = -1 · 28 · 33 · 52 · 77 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-320607,-73930906] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:26950:1] |
Generators of the group modulo torsion |
j |
-4481782160112/310023175 |
j-invariant |
L |
7.6674001601029 |
L(r)(E,1)/r! |
Ω |
0.099918958670322 |
Real period |
R |
1.0657804112284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020f4 13860c2 |
Quadratic twists by: -3 -7 |