Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26928r |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-3.3879027422289E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16654980,-27619792612] |
[a1,a2,a3,a4,a6] |
Generators |
[1034028623:92537307819:103823] |
Generators of the group modulo torsion |
j |
-2737717077365028736000/181536283769982867 |
j-invariant |
L |
6.2076460057893 |
L(r)(E,1)/r! |
Ω |
0.037224076188009 |
Real period |
R |
11.911733789935 |
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 |
13464e1 107712dg1 8976b1 |
Quadratic twists by: -4 8 -3 |