Atkin-Lehner |
2- 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690m |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
98837607552560100 = 22 · 38 · 52 · 74 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1293900,-566836215] |
[a1,a2,a3,a4,a6] |
Generators |
[5185:360935:1] |
Generators of the group modulo torsion |
j |
239566380686078309841601/98837607552560100 |
j-invariant |
L |
6.9409383933161 |
L(r)(E,1)/r! |
Ω |
0.14155823142969 |
Real period |
R |
6.1290487342336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56070l4 93450bc4 |
Quadratic twists by: -3 5 |