Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850cv |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-121728420000 = -1 · 25 · 37 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11- 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1233,1741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-262:1] |
Generators of the group modulo torsion |
j |
454786175/267168 |
j-invariant |
L |
5.3174205886589 |
L(r)(E,1)/r! |
Ω |
0.635242777699 |
Real period |
R |
0.34877876642239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999462685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950ce1 113850eq1 |
Quadratic twists by: -3 5 |