Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430p |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-190004068352000 = -1 · 224 · 53 · 72 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9520,749457] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:341:1] [-75:1061:1] |
Generators of the group modulo torsion |
j |
-51606035560969/102760448000 |
j-invariant |
L |
14.89176124953 |
L(r)(E,1)/r! |
Ω |
0.50506150556057 |
Real period |
R |
0.20475725738598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129430c2 |
Quadratic twists by: -43 |