Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20202d |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1013746279849393272 = -1 · 23 · 3 · 72 · 1312 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,131505,44840794] |
[a1,a2,a3,a4,a6] |
Generators |
[268:9833:1] |
Generators of the group modulo torsion |
j |
251509999458218375447/1013746279849393272 |
j-invariant |
L |
5.1662861782276 |
L(r)(E,1)/r! |
Ω |
0.19787340323387 |
Real period |
R |
6.5272619940254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606bg3 |
Quadratic twists by: -3 |