Atkin-Lehner |
2- 3+ 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226s |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8109510100272 = 24 · 33 · 72 · 234 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11321,445737] |
[a1,a2,a3,a4,a6] |
Generators |
[45:138:1] |
Generators of the group modulo torsion |
j |
5942625393671091/300352225936 |
j-invariant |
L |
8.1868049027229 |
L(r)(E,1)/r! |
Ω |
0.72814499876853 |
Real period |
R |
0.3513553677206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226a2 |
Quadratic twists by: -3 |