Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290d |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
154479326416852500 = 22 · 33 · 54 · 7 · 836 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-893865,324952425] |
[a1,a2,a3,a4,a6] |
Generators |
[15555:18560:27] |
Generators of the group modulo torsion |
j |
2925337770932502124107/5721456533957500 |
j-invariant |
L |
2.6790957434533 |
L(r)(E,1)/r! |
Ω |
0.32482926626486 |
Real period |
R |
6.1857782418009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290bw4 |
Quadratic twists by: -3 |