Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cz |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-4.7225249792E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 5 -6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3521875,2750431250] |
[a1,a2,a3,a4,a6] |
Generators |
[612003:91834624:27] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
9.0864173052638 |
L(r)(E,1)/r! |
Ω |
0.1622495443533 |
Real period |
R |
7.0003411577216 |
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 |
2450k1 78400jg1 19600ef1 2800r1 |
Quadratic twists by: -4 8 5 -7 |