Atkin-Lehner |
2+ 7+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558a |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1000948088 = -1 · 23 · 74 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 0 -1 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11491,-478939] |
[a1,a2,a3,a4,a6] |
Generators |
[17427:427916:27] |
Generators of the group modulo torsion |
j |
-69897891988057/416888 |
j-invariant |
L |
3.1828303535939 |
L(r)(E,1)/r! |
Ω |
0.23055525550921 |
Real period |
R |
6.9025326587768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558k1 |
Quadratic twists by: -7 |