Atkin-Lehner |
2+ 3+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774c |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-134854239366 = -1 · 2 · 33 · 72 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1122,-10430] |
[a1,a2,a3,a4,a6] |
Generators |
[17:107:1] [198:1333:8] |
Generators of the group modulo torsion |
j |
5782568321349/4994601458 |
j-invariant |
L |
6.749634253463 |
L(r)(E,1)/r! |
Ω |
0.57178470393068 |
Real period |
R |
1.4755628751424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bj2 |
Quadratic twists by: -3 |