Atkin-Lehner |
2+ 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646c |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-8.0899620822257E+20 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 0 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10199555,12614770517] |
[a1,a2,a3,a4,a6] |
Generators |
[193295:2804038:125] |
Generators of the group modulo torsion |
j |
-20355561584657058249/140333761429504 |
j-invariant |
L |
3.3457758633424 |
L(r)(E,1)/r! |
Ω |
0.1597995188993 |
Real period |
R |
10.468666884664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646d1 |
Quadratic twists by: -7 |