Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bs |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-217308703500 = -1 · 22 · 36 · 53 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1125,-17375] |
[a1,a2,a3,a4,a6] |
Generators |
[18:83:1] [32:209:1] |
Generators of the group modulo torsion |
j |
4405959551/6083500 |
j-invariant |
L |
8.1398594282404 |
L(r)(E,1)/r! |
Ω |
0.53051391058551 |
Real period |
R |
1.2786123143155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11270r2 101430bx2 |
Quadratic twists by: -3 -7 |