Atkin-Lehner |
3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8349c |
Isogeny class |
Conductor |
8349 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4578178684047990153 = -1 · 3 · 117 · 238 |
Discriminant |
Eigenvalues |
1 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-684137,240848441] |
[a1,a2,a3,a4,a6] |
Generators |
[-8026601697270:100799732481823:8869743000] |
Generators of the group modulo torsion |
j |
-19989223566735457/2584262514273 |
j-invariant |
L |
5.3438650316393 |
L(r)(E,1)/r! |
Ω |
0.23719528462447 |
Real period |
R |
22.529389823663 |
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 |
25047i5 759b6 |
Quadratic twists by: -3 -11 |