Atkin-Lehner |
3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74415d |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
513216 |
Modular degree for the optimal curve |
Δ |
326281011742125 = 33 · 53 · 119 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 11+ -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-124670,-16879237] |
[a1,a2,a3,a4,a6] |
j |
90882215936/138375 |
j-invariant |
L |
1.5245782737382 |
L(r)(E,1)/r! |
Ω |
0.25409638566008 |
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 |
74415e1 |
Quadratic twists by: -11 |