Atkin-Lehner |
2+ 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650u |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1997568 |
Modular degree for the optimal curve |
Δ |
-1743003488609370000 = -1 · 24 · 317 · 54 · 13 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-136500,66362400] |
[a1,a2,a3,a4,a6] |
j |
-450035341236936025/2788805581774992 |
j-invariant |
L |
1.3721122433451 |
L(r)(E,1)/r! |
Ω |
0.22868538070101 |
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 |
91650dm1 |
Quadratic twists by: 5 |