Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148bh |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1297296 |
Modular degree for the optimal curve |
Δ |
-19368274936910592 = -1 · 28 · 3 · 76 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217421,-516660087] |
[a1,a2,a3,a4,a6] |
j |
-30908416/3 |
j-invariant |
L |
3.5212988395755 |
L(r)(E,1)/r! |
Ω |
0.071863241536658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452h1 71148bi1 |
Quadratic twists by: -7 -11 |