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 |
7824327840000 = 28 · 36 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8876,-289440] |
[a1,a2,a3,a4,a6] |
Generators |
[1116:37128:1] |
Generators of the group modulo torsion |
j |
302123533699024/30563780625 |
j-invariant |
L |
5.3447033636992 |
L(r)(E,1)/r! |
Ω |
0.49506749107804 |
Real period |
R |
5.3979542790085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080j2 |
Quadratic twists by: -4 |