Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160h |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-959439600000000 = -1 · 210 · 33 · 58 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11104,-1424304] |
[a1,a2,a3,a4,a6] |
Generators |
[88:476:1] |
Generators of the group modulo torsion |
j |
147850569836924/936952734375 |
j-invariant |
L |
5.3447033636992 |
L(r)(E,1)/r! |
Ω |
0.24753374553902 |
Real period |
R |
2.6989771395043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080j3 |
Quadratic twists by: -4 |