Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
1830f |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21445312500 = 22 · 32 · 510 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1106,11819] |
[a1,a2,a3,a4,a6] |
j |
149628263143969/21445312500 |
j-invariant |
L |
2.3231309497664 |
L(r)(E,1)/r! |
Ω |
1.1615654748832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640bc2 58560bs2 5490j2 9150i2 |
Quadratic twists by: -4 8 -3 5 |