Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344b |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-139639808 = -1 · 210 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ 11+ -7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38809,2929807] |
[a1,a2,a3,a4,a6] |
Generators |
[114:11:1] |
Generators of the group modulo torsion |
j |
-6312949321739008/136367 |
j-invariant |
L |
3.8315651045499 |
L(r)(E,1)/r! |
Ω |
1.3294851366728 |
Real period |
R |
0.72049791933249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344en1 7084d1 |
Quadratic twists by: -4 8 |