Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bm |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1106314453125000 = 23 · 37 · 512 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-301298,-63560919] |
[a1,a2,a3,a4,a6] |
j |
4149383532674367961/1517578125000 |
j-invariant |
L |
4.8907040044623 |
L(r)(E,1)/r! |
Ω |
0.20377933351926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770i4 116550bo4 |
Quadratic twists by: -3 5 |