Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605f |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
3434924699795933225 = 52 · 79 · 237 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4217023,-3330919378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1174:1444:1] |
Generators of the group modulo torsion |
j |
476196576129/197225 |
j-invariant |
L |
1.0458754450869 |
L(r)(E,1)/r! |
Ω |
0.10535590096019 |
Real period |
R |
2.4817677089341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995534103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515m1 5635j1 |
Quadratic twists by: -7 -23 |