Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350ba |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-107376685625000 = -1 · 23 · 57 · 112 · 175 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11- 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1912,-496719] |
[a1,a2,a3,a4,a6] |
Generators |
[75:237:1] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
5.510004062491 |
L(r)(E,1)/r! |
Ω |
0.28125624048593 |
Real period |
R |
1.6325575724623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800z1 84150bn1 1870d1 102850p1 |
Quadratic twists by: -4 -3 5 -11 |