Atkin-Lehner |
2- 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614h |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-1837388790893088 = -1 · 25 · 315 · 373 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 3 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72266,-7738455] |
[a1,a2,a3,a4,a6] |
Generators |
[3845:235875:1] |
Generators of the group modulo torsion |
j |
-57252255389306713/2520423581472 |
j-invariant |
L |
9.2415183916338 |
L(r)(E,1)/r! |
Ω |
0.14521787425296 |
Real period |
R |
6.3638986861086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17538a1 |
Quadratic twists by: -3 |