Atkin-Lehner |
2- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70262f |
Isogeny class |
Conductor |
70262 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-960847183448 = -1 · 23 · 19 · 436 |
Discriminant |
Eigenvalues |
2- -1 0 1 -6 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28698,-1883777] |
[a1,a2,a3,a4,a6] |
Generators |
[512759:4244837:2197] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
7.3842933213442 |
L(r)(E,1)/r! |
Ω |
0.18339901373157 |
Real period |
R |
6.7105898154846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38a3 |
Quadratic twists by: -43 |