Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640m |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-1.0280719681128E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6168015,49140233100] |
[a1,a2,a3,a4,a6] |
Generators |
[5075:385385:1] |
Generators of the group modulo torsion |
j |
-915553975060166656/36269989013671875 |
j-invariant |
L |
5.0354134651247 |
L(r)(E,1)/r! |
Ω |
0.072868790086983 |
Real period |
R |
2.1594522220233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000735 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240w1 |
Quadratic twists by: -11 |