Atkin-Lehner |
2+ 3- 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
35298d |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337792 |
Modular degree for the optimal curve |
Δ |
-10794266273423232 = -1 · 27 · 319 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 3 -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9225,-5007987] |
[a1,a2,a3,a4,a6] |
Generators |
[429390:8155593:1000] |
Generators of the group modulo torsion |
j |
-119102750067601/14806949620608 |
j-invariant |
L |
5.7545107247448 |
L(r)(E,1)/r! |
Ω |
0.17972014953257 |
Real period |
R |
8.0048213009387 |
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 |
11766e1 |
Quadratic twists by: -3 |