Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050z |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-2.8719574220833E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1039150,911182870] |
[a1,a2,a3,a4,a6] |
Generators |
[5829:436346:1] |
Generators of the group modulo torsion |
j |
-23156749680625/53591573322 |
j-invariant |
L |
4.925847200866 |
L(r)(E,1)/r! |
Ω |
0.15359668525659 |
Real period |
R |
6.4140019133657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050it1 127050fl1 |
Quadratic twists by: 5 -11 |