Atkin-Lehner |
3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891f |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-350096641366569327 = -1 · 35 · 174 · 297 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,42453,28285584] |
[a1,a2,a3,a4,a6] |
j |
14225260967/588572487 |
j-invariant |
L |
0.22951057065883 |
L(r)(E,1)/r! |
Ω |
0.22951057068079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128673g1 1479d1 |
Quadratic twists by: -3 29 |