Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944dh |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
112874108483354624 = 214 · 710 · 293 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281717,-55142611] |
[a1,a2,a3,a4,a6] |
Generators |
[-2191225002885659906004:11045634818552344553759:7370099732323082763] |
Generators of the group modulo torsion |
j |
534274048/24389 |
j-invariant |
L |
7.2055757847466 |
L(r)(E,1)/r! |
Ω |
0.20781247339511 |
Real period |
R |
34.673451824264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944bf1 22736bo1 90944cr1 |
Quadratic twists by: -4 8 -7 |