Atkin-Lehner |
2- 3+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178ba |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3446784 |
Modular degree for the optimal curve |
Δ |
-37314330982612992 = -1 · 222 · 33 · 7 · 112 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 11+ 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202843,-507547701] |
[a1,a2,a3,a4,a6] |
j |
-7128307810760278093587/1382012258615296 |
j-invariant |
L |
6.3430041360708 |
L(r)(E,1)/r! |
Ω |
0.072079588662309 |
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 |
101178e1 |
Quadratic twists by: -3 |