Atkin-Lehner |
2+ 3+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774b |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3951110651232374784 = 212 · 33 · 7 · 112 · 596 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55521828,-159223004080] |
[a1,a2,a3,a4,a6] |
j |
701053596328991637794860251/146337431527124992 |
j-invariant |
L |
0.88491919235622 |
L(r)(E,1)/r! |
Ω |
0.055307448123212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bi2 |
Quadratic twists by: -3 |