Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494ci |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-328543754616 = -1 · 23 · 39 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1678,7337] |
[a1,a2,a3,a4,a6] |
Generators |
[15:181:1] |
Generators of the group modulo torsion |
j |
717157709351/450677304 |
j-invariant |
L |
13.091814608688 |
L(r)(E,1)/r! |
Ω |
0.59778190354901 |
Real period |
R |
0.91252724293842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498u1 |
Quadratic twists by: -3 |