Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
1485993600000 = 210 · 36 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121707,16342506] |
[a1,a2,a3,a4,a6] |
Generators |
[187:350:1] |
Generators of the group modulo torsion |
j |
267080942160036/1990625 |
j-invariant |
L |
7.0968661261883 |
L(r)(E,1)/r! |
Ω |
0.76132787056729 |
Real period |
R |
0.46608474482276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760s1 7280e1 |
Quadratic twists by: -4 -3 |