Atkin-Lehner |
7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41209g |
Isogeny class |
Conductor |
41209 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-696094729371996563 = -1 · 79 · 297 |
Discriminant |
Eigenvalues |
2 1 -2 7- 0 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96154,-41781729] |
[a1,a2,a3,a4,a6] |
j |
-4096/29 |
j-invariant |
L |
0.96176503658991 |
L(r)(E,1)/r! |
Ω |
0.12022062956773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41209h1 1421i1 |
Quadratic twists by: -7 29 |