Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470a |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7341602400 = -1 · 25 · 33 · 52 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,330,-3500] |
[a1,a2,a3,a4,a6] |
Generators |
[17:74:1] |
Generators of the group modulo torsion |
j |
146947188933/271911200 |
j-invariant |
L |
4.5891432269933 |
L(r)(E,1)/r! |
Ω |
0.69229036341885 |
Real period |
R |
1.6572320912791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470u2 |
Quadratic twists by: -3 |