Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550t |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3772443780000 = -1 · 25 · 39 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2742,-107884] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4321:1] |
Generators of the group modulo torsion |
j |
-185371875/306656 |
j-invariant |
L |
4.9061384948982 |
L(r)(E,1)/r! |
Ω |
0.31209873638691 |
Real period |
R |
3.9299570130979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550dp1 116550dc1 |
Quadratic twists by: -3 5 |