Atkin-Lehner |
2- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10912f |
Isogeny class |
Conductor |
10912 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-2456509614592 = -1 · 29 · 115 · 313 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11- 4 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353688,-81079556] |
[a1,a2,a3,a4,a6] |
Generators |
[8955:845548:1] |
Generators of the group modulo torsion |
j |
-9556876080347597000/4797870341 |
j-invariant |
L |
3.0638637078646 |
L(r)(E,1)/r! |
Ω |
0.097884598164426 |
Real period |
R |
6.2601548462566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10912a1 21824d1 98208e1 120032c1 |
Quadratic twists by: -4 8 -3 -11 |