Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
690d |
Isogeny class |
Conductor |
690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
838350 = 2 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-242,-1554] |
[a1,a2,a3,a4,a6] |
j |
1577505447721/838350 |
j-invariant |
L |
1.2098350004653 |
L(r)(E,1)/r! |
Ω |
1.2098350004653 |
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 |
5520bg2 22080bb2 2070p2 3450y2 |
Quadratic twists by: -4 8 -3 5 |