Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
847c |
Isogeny class |
Conductor |
847 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2292646180979 = 76 · 117 |
Discriminant |
Eigenvalues |
-1 2 -2 7- 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6234,-177484] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1201:1] |
Generators of the group modulo torsion |
j |
15124197817/1294139 |
j-invariant |
L |
1.9187378840007 |
L(r)(E,1)/r! |
Ω |
0.54021774573437 |
Real period |
R |
0.59196435115016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552s2 54208bn2 7623o2 21175h2 |
Quadratic twists by: -4 8 -3 5 |