Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12834i |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-23240269224 = -1 · 23 · 311 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -1 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2948,-61297] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1783:1] |
Generators of the group modulo torsion |
j |
-3885442650361/31879656 |
j-invariant |
L |
5.7976882658194 |
L(r)(E,1)/r! |
Ω |
0.32380719936991 |
Real period |
R |
0.74603141894069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672ci1 4278f1 |
Quadratic twists by: -4 -3 |