Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
91035bx |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
778690723593628125 = 36 · 55 · 72 · 178 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -5 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1223337,-519062135] |
[a1,a2,a3,a4,a6] |
Generators |
[-42428:48793:64] |
Generators of the group modulo torsion |
j |
39814672384/153125 |
j-invariant |
L |
13.219732200031 |
L(r)(E,1)/r! |
Ω |
0.14358645986623 |
Real period |
R |
4.6034048747678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115f1 91035o1 |
Quadratic twists by: -3 17 |