Atkin-Lehner |
2- 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260h |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
167109600000 = 28 · 3 · 55 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1780,-20600] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:70:1] |
Generators of the group modulo torsion |
j |
1015302736/271875 |
j-invariant |
L |
6.2004512238848 |
L(r)(E,1)/r! |
Ω |
0.74967731166929 |
Real period |
R |
0.18379615153193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85260q1 |
Quadratic twists by: -7 |