Atkin-Lehner |
2+ 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990q |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-643368880687500 = -1 · 22 · 36 · 56 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21152,-293494] |
[a1,a2,a3,a4,a6] |
Generators |
[15:157:1] |
Generators of the group modulo torsion |
j |
1046664610219706759/643368880687500 |
j-invariant |
L |
6.0848459655888 |
L(r)(E,1)/r! |
Ω |
0.29629551422971 |
Real period |
R |
1.7113674449328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
101970bq2 |
Quadratic twists by: -3 |