Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bp |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
2160 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
6.1285807108915E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43180457,-102503010711] |
[a1,a2,a3,a4,a6] |
Generators |
[-4153:74076:1] |
Generators of the group modulo torsion |
j |
12213998926891604574241609/840683225088000000000 |
j-invariant |
L |
10.062488693439 |
L(r)(E,1)/r! |
Ω |
0.059150031223947 |
Real period |
R |
0.31503344859379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210a1 |
Quadratic twists by: -3 |