Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400m |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-3.77801998336E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1291967,745452063] |
[a1,a2,a3,a4,a6] |
Generators |
[-487:1000:1] |
Generators of the group modulo torsion |
j |
10100279/16000 |
j-invariant |
L |
3.4585837468955 |
L(r)(E,1)/r! |
Ω |
0.11541868536505 |
Real period |
R |
3.7456930555979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gj1 2450u1 15680b1 78400ch1 |
Quadratic twists by: -4 8 5 -7 |