Atkin-Lehner |
2+ 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
57354f |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25534243451467872 = 25 · 38 · 117 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-211026,-36599724] |
[a1,a2,a3,a4,a6] |
Generators |
[-150392:273723:512] |
Generators of the group modulo torsion |
j |
586649517348097/14413414752 |
j-invariant |
L |
3.3042469598607 |
L(r)(E,1)/r! |
Ω |
0.22308260281594 |
Real period |
R |
7.4058822115108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5214c2 |
Quadratic twists by: -11 |