Atkin-Lehner |
3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
26901k |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-307795886125148547 = -1 · 315 · 78 · 612 |
Discriminant |
Eigenvalues |
2 3- 4 7+ 0 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,147147,-15507459] |
[a1,a2,a3,a4,a6] |
Generators |
[605640:21804499:512] |
Generators of the group modulo torsion |
j |
83842863104/73240443 |
j-invariant |
L |
13.655075020686 |
L(r)(E,1)/r! |
Ω |
0.16861661880538 |
Real period |
R |
6.7485810500323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8967h1 26901p1 |
Quadratic twists by: -3 -7 |