Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950z |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-6160138342737500000 = -1 · 25 · 58 · 1110 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 11- 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143751,-121254102] |
[a1,a2,a3,a4,a6] |
Generators |
[721857726:23892797753:551368] |
Generators of the group modulo torsion |
j |
-11867954041/222543200 |
j-invariant |
L |
5.0231346217359 |
L(r)(E,1)/r! |
Ω |
0.1027847474435 |
Real period |
R |
12.217607012002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990bj1 10450z1 |
Quadratic twists by: 5 -11 |