Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bu |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
22014720 |
Modular degree for the optimal curve |
Δ |
9.0055912948046E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57360000,-84337737500] |
[a1,a2,a3,a4,a6] |
Generators |
[-2011:151263:1] |
Generators of the group modulo torsion |
j |
11452059693875200/4941339530757 |
j-invariant |
L |
8.0257631535141 |
L(r)(E,1)/r! |
Ω |
0.057049490229589 |
Real period |
R |
1.8035989232041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700bh1 107100cd1 |
Quadratic twists by: -3 5 |