Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992x |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-656331367104 = -1 · 26 · 39 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -4 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14418,-667494] |
[a1,a2,a3,a4,a6] |
Generators |
[145:539:1] |
Generators of the group modulo torsion |
j |
-263128269312/521017 |
j-invariant |
L |
6.605354454101 |
L(r)(E,1)/r! |
Ω |
0.21781699980178 |
Real period |
R |
3.0325247832946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999286689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992d1 62496f1 124992v1 |
Quadratic twists by: -4 8 -3 |