Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344r |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
3688026969088 = 210 · 76 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40360,3119496] |
[a1,a2,a3,a4,a6] |
Generators |
[130:264:1] |
Generators of the group modulo torsion |
j |
7100308654848000/3601588837 |
j-invariant |
L |
4.2380726723776 |
L(r)(E,1)/r! |
Ω |
0.77701654409324 |
Real period |
R |
1.818096284402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344ds1 14168b1 |
Quadratic twists by: -4 8 |