Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890t |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-6.9974625852354E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5272881,11841793165] |
[a1,a2,a3,a4,a6] |
Generators |
[2261346797:477330915617:50653] |
Generators of the group modulo torsion |
j |
5104057660996785093/22028685406135520 |
j-invariant |
L |
5.4604438867367 |
L(r)(E,1)/r! |
Ω |
0.078392902441153 |
Real period |
R |
17.413705923939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dm2 18270b1 |
Quadratic twists by: -3 -7 |