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 |
7656067641600 = 28 · 38 · 52 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-307440,65689600] |
[a1,a2,a3,a4,a6] |
Generators |
[336:-656:1] |
Generators of the group modulo torsion |
j |
4408370553431658241/10502150400 |
j-invariant |
L |
2.1469193491704 |
L(r)(E,1)/r! |
Ω |
0.64069836875663 |
Real period |
R |
0.83772624290301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810o2 |
Quadratic twists by: -3 |