Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376s |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
8910720 |
Modular degree for the optimal curve |
Δ |
-4.2220197562914E+25 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61220081,-362938057261] |
[a1,a2,a3,a4,a6] |
Generators |
[1484210:638703221:8] |
Generators of the group modulo torsion |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
2.9000031386613 |
L(r)(E,1)/r! |
Ω |
0.025527305894101 |
Real period |
R |
2.184691614478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844a1 3952c1 |
Quadratic twists by: -4 13 |