Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350y |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-62571021730000000 = -1 · 27 · 57 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -3 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3686900,-2726398000] |
[a1,a2,a3,a4,a6] |
Generators |
[2365734746697126853365265:665249219186211659220701680:29794546230701560867] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
7.9831444392089 |
L(r)(E,1)/r! |
Ω |
0.054475836771582 |
Real period |
R |
36.636171706193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270o1 6650z1 |
Quadratic twists by: 5 -19 |