Atkin-Lehner |
3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33201c |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-1095516775115202699 = -1 · 39 · 7 · 172 · 317 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 4 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,253212,11433730] |
[a1,a2,a3,a4,a6] |
j |
2462912792048697344/1502766495356931 |
j-invariant |
L |
1.3574889004401 |
L(r)(E,1)/r! |
Ω |
0.16968611255418 |
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 |
11067c1 |
Quadratic twists by: -3 |