Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380t |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
2973130272000 = 28 · 38 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-415661,103008639] |
[a1,a2,a3,a4,a6] |
Generators |
[370:63:1] |
Generators of the group modulo torsion |
j |
107350675904536576/40186125 |
j-invariant |
L |
8.2631180207263 |
L(r)(E,1)/r! |
Ω |
0.64954834227473 |
Real period |
R |
0.79508305079589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121380s1 |
Quadratic twists by: 17 |