Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935c |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-417039575171806125 = -1 · 314 · 53 · 78 · 112 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362601,89449548] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:13283:1] [274:3143:1] |
Generators of the group modulo torsion |
j |
-7558595228569/597871125 |
j-invariant |
L |
5.4878398324731 |
L(r)(E,1)/r! |
Ω |
0.29286175462407 |
Real period |
R |
9.3693350971256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935cj1 88935b1 |
Quadratic twists by: -7 -11 |