Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430j |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-157041355165344720 = -1 · 24 · 310 · 5 · 74 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303840,67300240] |
[a1,a2,a3,a4,a6] |
Generators |
[596:-10180:1] |
Generators of the group modulo torsion |
j |
-4255316133725744641/215420240281680 |
j-invariant |
L |
2.1469193491704 |
L(r)(E,1)/r! |
Ω |
0.32034918437831 |
Real period |
R |
0.4188631214515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810o4 |
Quadratic twists by: -3 |