Atkin-Lehner |
2+ 3+ 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130d |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
145389690 = 2 · 32 · 5 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-453,3483] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:639:8] [3:45:1] |
Generators of the group modulo torsion |
j |
10316097499609/145389690 |
j-invariant |
L |
5.1507513598929 |
L(r)(E,1)/r! |
Ω |
1.838970164954 |
Real period |
R |
1.4004445145587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390bx2 |
Quadratic twists by: -3 |