Atkin-Lehner |
2+ 3- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79794j |
Isogeny class |
Conductor |
79794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
715008 |
Modular degree for the optimal curve |
Δ |
-577762773958656 = -1 · 219 · 36 · 112 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-323079,-70611139] |
[a1,a2,a3,a4,a6] |
Generators |
[3226243:-223221:4913] |
Generators of the group modulo torsion |
j |
-5115912758587353969/792541528064 |
j-invariant |
L |
4.3420460388357 |
L(r)(E,1)/r! |
Ω |
0.1001240197307 |
Real period |
R |
10.841669276406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866i1 |
Quadratic twists by: -3 |