Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627j |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32947200 |
Modular degree for the optimal curve |
Δ |
1.6982145518242E+24 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- 6 6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53409854,-136552275322] |
[a1,a2,a3,a4,a6] |
j |
170295687079857398473/17163597526568829 |
j-invariant |
L |
2.8104513011779 |
L(r)(E,1)/r! |
Ω |
0.056209043389459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17661i1 123627w1 |
Quadratic twists by: -7 29 |