Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126h |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
7451136 |
Modular degree for the optimal curve |
Δ |
-2.0479351771531E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3197553,3096600093] |
[a1,a2,a3,a4,a6] |
Generators |
[-1359:70899:1] |
Generators of the group modulo torsion |
j |
-23228916850810251/13157340731392 |
j-invariant |
L |
6.5482574974039 |
L(r)(E,1)/r! |
Ω |
0.13651456386563 |
Real period |
R |
3.9972887189117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975745 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126126dk2 126126x1 |
Quadratic twists by: -3 -7 |