Atkin-Lehner |
2+ 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782n |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
77290905333312 = 26 · 33 · 115 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91997,10724024] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:4126:1] [-333:2278:1] |
Generators of the group modulo torsion |
j |
86106893636412814537/77290905333312 |
j-invariant |
L |
6.8870812728245 |
L(r)(E,1)/r! |
Ω |
0.60747520360267 |
Real period |
R |
0.37790740165086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346bv1 |
Quadratic twists by: -3 |