Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950t |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-13650312500 = -1 · 22 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4417,114241] |
[a1,a2,a3,a4,a6] |
Generators |
[59:208:1] [-36:493:1] |
Generators of the group modulo torsion |
j |
-5041454121/7220 |
j-invariant |
L |
4.3185783334533 |
L(r)(E,1)/r! |
Ω |
1.2541733815301 |
Real period |
R |
0.21521039276908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999926354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990bh1 114950db1 |
Quadratic twists by: 5 -11 |