Atkin-Lehner |
2- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
52094l |
Isogeny class |
Conductor |
52094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
483120 |
Modular degree for the optimal curve |
Δ |
10735609527847736 = 23 · 7 · 618 |
Discriminant |
Eigenvalues |
2- -2 3 7- -3 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61474,3087756] |
[a1,a2,a3,a4,a6] |
Generators |
[-30361039993900:172243288834987:117649000000] |
Generators of the group modulo torsion |
j |
134017/56 |
j-invariant |
L |
8.4168389739081 |
L(r)(E,1)/r! |
Ω |
0.36654260195694 |
Real period |
R |
22.962785032276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52094b1 |
Quadratic twists by: 61 |