Atkin-Lehner |
2+ 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842h |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
55012363689024 = 26 · 32 · 76 · 172 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19656,990720] |
[a1,a2,a3,a4,a6] |
Generators |
[47:393:1] |
Generators of the group modulo torsion |
j |
839931105851106697/55012363689024 |
j-invariant |
L |
2.2273687041015 |
L(r)(E,1)/r! |
Ω |
0.61746087700084 |
Real period |
R |
0.60121722877898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113526bh2 |
Quadratic twists by: -3 |