Atkin-Lehner |
11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109021m |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2131200 |
Modular degree for the optimal curve |
Δ |
7065655472556593 = 116 · 175 · 532 |
Discriminant |
Eigenvalues |
1 2 0 4 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3581360,-2610165301] |
[a1,a2,a3,a4,a6] |
Generators |
[-100639490321534481030:49174159242280298407:92154923491595769] |
Generators of the group modulo torsion |
j |
2867554803676902625/3988378313 |
j-invariant |
L |
13.513261047585 |
L(r)(E,1)/r! |
Ω |
0.109745717061 |
Real period |
R |
24.626493652458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
901b1 |
Quadratic twists by: -11 |