Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455f |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5808000 |
Modular degree for the optimal curve |
Δ |
71654464469504565 = 33 · 5 · 118 · 195 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8061867,-8810510910] |
[a1,a2,a3,a4,a6] |
Generators |
[-62688881203:856966951:38272753] |
Generators of the group modulo torsion |
j |
10012104045047808/12380495 |
j-invariant |
L |
2.8401917262882 |
L(r)(E,1)/r! |
Ω |
0.089596424681248 |
Real period |
R |
15.849916647861 |
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 |
103455a1 103455g1 |
Quadratic twists by: -3 -11 |