Atkin-Lehner |
2+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75166j |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
275184 |
Modular degree for the optimal curve |
Δ |
-115168123301504 = -1 · 27 · 76 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -2 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10068,-338838] |
[a1,a2,a3,a4,a6] |
j |
959460498647/978912896 |
j-invariant |
L |
1.9268555515138 |
L(r)(E,1)/r! |
Ω |
0.32114259290304 |
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 |
1534a1 |
Quadratic twists by: -7 |