Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550cy |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-167534797500000000 = -1 · 28 · 33 · 510 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9145,-19692353] |
[a1,a2,a3,a4,a6] |
Generators |
[539:11630:1] |
Generators of the group modulo torsion |
j |
200509785477/397119520000 |
j-invariant |
L |
12.950250069311 |
L(r)(E,1)/r! |
Ω |
0.14969085876062 |
Real period |
R |
2.7035406127316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999666898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550e1 23310c1 |
Quadratic twists by: -3 5 |