Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344s |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2135631990516E+24 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379364716,2843531786160] |
[a1,a2,a3,a4,a6] |
Generators |
[12493:232323:1] |
Generators of the group modulo torsion |
j |
23033216869836569212815153/4629376217085372676 |
j-invariant |
L |
4.1710319121202 |
L(r)(E,1)/r! |
Ω |
0.083954035945635 |
Real period |
R |
6.2102909496146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884581 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113344dt2 3542k2 |
Quadratic twists by: -4 8 |