Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498u |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-450677304 = -1 · 23 · 33 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,186,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
717157709351/450677304 |
j-invariant |
L |
5.335653020516 |
L(r)(E,1)/r! |
Ω |
0.96005358806699 |
Real period |
R |
0.46313847188976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494ci1 |
Quadratic twists by: -3 |