Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bd |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-3952000000 = -1 · 210 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 2 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,-30777] |
[a1,a2,a3,a4,a6] |
Generators |
[66:375:1] |
Generators of the group modulo torsion |
j |
-656825960704/3859375 |
j-invariant |
L |
4.593352006764 |
L(r)(E,1)/r! |
Ω |
0.36507447522353 |
Real period |
R |
2.0969931347875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040cg1 9880c1 |
Quadratic twists by: -4 8 |