Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103246u |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
-1.6087520214227E+23 |
Discriminant |
Eigenvalues |
2- 1 3 1 11- 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1604096,-19281588608] |
[a1,a2,a3,a4,a6] |
Generators |
[742572318:39592881667:195112] |
Generators of the group modulo torsion |
j |
9702712366430903/3419538516927104 |
j-invariant |
L |
16.961151813838 |
L(r)(E,1)/r! |
Ω |
0.047966462022398 |
Real period |
R |
12.628728413508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434e1 |
Quadratic twists by: -19 |