Atkin-Lehner |
2+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040b |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-49262012800000 = -1 · 210 · 55 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8304,173680] |
[a1,a2,a3,a4,a6] |
j |
61834873480124/48107434375 |
j-invariant |
L |
0.81499767332329 |
L(r)(E,1)/r! |
Ω |
0.40749883667383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080c1 |
Quadratic twists by: -4 |