Atkin-Lehner |
2+ 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350c |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3168016780781250 = 2 · 38 · 57 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61525,-5238125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1250:6775:8] [-109:488:1] |
Generators of the group modulo torsion |
j |
1648426481060689/202753073970 |
j-invariant |
L |
7.1120468462144 |
L(r)(E,1)/r! |
Ω |
0.30557956331698 |
Real period |
R |
11.63698051121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870u3 |
Quadratic twists by: 5 |