Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ij |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
106444800 |
Modular degree for the optimal curve |
Δ |
-2.1546276459751E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5200346138,144513751141031] |
[a1,a2,a3,a4,a6] |
Generators |
[43049:630763:1] |
Generators of the group modulo torsion |
j |
-338432601090393003419185/468839239916716032 |
j-invariant |
L |
9.4347304935213 |
L(r)(E,1)/r! |
Ω |
0.038168667152854 |
Real period |
R |
0.74904612904533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ds1 13650cx1 |
Quadratic twists by: 5 -7 |