Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bx |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-25566151658071500 = -1 · 22 · 36 · 53 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55116,5849388] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1074:1] [3:2451:1] |
Generators of the group modulo torsion |
j |
4405959551/6083500 |
j-invariant |
L |
8.5726431562009 |
L(r)(E,1)/r! |
Ω |
0.25460833787888 |
Real period |
R |
2.8058269245517 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11270j2 101430bs2 |
Quadratic twists by: -3 -7 |