Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350v |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1348075520000000 = -1 · 223 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 11+ 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-920880,-339910253] |
[a1,a2,a3,a4,a6] |
j |
-5527291469021688969/86276833280 |
j-invariant |
L |
7.0893473606725 |
L(r)(E,1)/r! |
Ω |
0.07705812348557 |
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 |
74800ce1 84150cm1 1870c1 102850ba1 |
Quadratic twists by: -4 -3 5 -11 |