Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520v |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-479017500000000000 = -1 · 211 · 3 · 513 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141440,-39042900] |
[a1,a2,a3,a4,a6] |
Generators |
[505:4250:1] |
Generators of the group modulo torsion |
j |
-152796558778456322/233895263671875 |
j-invariant |
L |
4.6891344989008 |
L(r)(E,1)/r! |
Ω |
0.11677072070951 |
Real period |
R |
1.029660664848 |
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 |
53040bb1 79560k1 |
Quadratic twists by: -4 -3 |