Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2793i |
Isogeny class |
Conductor |
2793 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
2957342913 = 33 · 78 · 19 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,5571] |
[a1,a2,a3,a4,a6] |
Generators |
[25:61:1] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
2.5066262742167 |
L(r)(E,1)/r! |
Ω |
1.3847796529379 |
Real period |
R |
0.6033754826141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688ch1 8379g1 69825i1 399b1 |
Quadratic twists by: -4 -3 5 -7 |