Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690t |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11115170720820100 = -1 · 22 · 52 · 116 · 894 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,44566,3540840] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1137:1] [-282:11241:8] |
Generators of the group modulo torsion |
j |
5525519137839/6274224100 |
j-invariant |
L |
7.3693332589529 |
L(r)(E,1)/r! |
Ω |
0.26904352216369 |
Real period |
R |
3.4238574105876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890h4 |
Quadratic twists by: -11 |