Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2940b |
Isogeny class |
Conductor |
2940 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
988251600 = 24 · 3 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,-510] |
[a1,a2,a3,a4,a6] |
Generators |
[26:98:1] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
2.7069072106936 |
L(r)(E,1)/r! |
Ω |
1.2509419003035 |
Real period |
R |
1.081947614848 |
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 |
11760cg1 47040di1 8820ba1 14700be1 |
Quadratic twists by: -4 8 -3 5 |