Atkin-Lehner |
2+ 3- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574o |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1761280 |
Modular degree for the optimal curve |
Δ |
-61723264896663552 = -1 · 216 · 310 · 75 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -3 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96885,-16637387] |
[a1,a2,a3,a4,a6] |
Generators |
[8954:842243:1] |
Generators of the group modulo torsion |
j |
-137964812816673361/84668401778688 |
j-invariant |
L |
7.6732051147715 |
L(r)(E,1)/r! |
Ω |
0.13162650916918 |
Real period |
R |
2.9147643660679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999265586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39858m1 |
Quadratic twists by: -3 |