Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050be |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
1.5592667670518E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-866763900,-9822347550000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2124945:1096776:125] |
Generators of the group modulo torsion |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
4.4916247893718 |
L(r)(E,1)/r! |
Ω |
0.027824306675907 |
Real period |
R |
3.3630852808704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cl1 11550bk1 |
Quadratic twists by: 5 -11 |