Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990bc |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1825944420169800 = 23 · 38 · 52 · 72 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4234599,3355085205] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:-438:1] |
Generators of the group modulo torsion |
j |
11519486320471807467889/2504724856200 |
j-invariant |
L |
4.2207005693151 |
L(r)(E,1)/r! |
Ω |
0.37267442201959 |
Real period |
R |
1.4156795851603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330z3 |
Quadratic twists by: -3 |