Atkin-Lehner |
2- 3+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178m |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-3641419431936 = -1 · 216 · 36 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11+ 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-167532,26323725] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1313:1] [-339:6825:1] |
Generators of the group modulo torsion |
j |
-520016583401571241153/3641419431936 |
j-invariant |
L |
9.1529626565487 |
L(r)(E,1)/r! |
Ω |
0.70521464185127 |
Real period |
R |
0.20279647219624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105534t1 |
Quadratic twists by: -3 |