Atkin-Lehner |
2+ 3- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210l |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7872000 |
Modular degree for the optimal curve |
Δ |
-7.2551653349507E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,316620,12959046576] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:112287:1] |
Generators of the group modulo torsion |
j |
4815156932446461119/99522158229776700000 |
j-invariant |
L |
3.9051231557261 |
L(r)(E,1)/r! |
Ω |
0.086284593438311 |
Real period |
R |
2.2629318865277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26070be1 |
Quadratic twists by: -3 |