Atkin-Lehner |
2- 3+ 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390bh |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
14826240 |
Modular degree for the optimal curve |
Δ |
-1.4664125852037E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5479463,-58469534369] |
[a1,a2,a3,a4,a6] |
Generators |
[4915:180062:1] |
Generators of the group modulo torsion |
j |
-924371062656178481163/74501477681437081600 |
j-invariant |
L |
7.0861157214858 |
L(r)(E,1)/r! |
Ω |
0.037546922693335 |
Real period |
R |
0.23829158733111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78390f1 |
Quadratic twists by: -3 |