Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465b |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-48746865234375 = -1 · 33 · 510 · 75 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8430,-157329] |
[a1,a2,a3,a4,a6] |
Generators |
[22:185:1] |
Generators of the group modulo torsion |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
4.0308207940227 |
L(r)(E,1)/r! |
Ω |
0.35617621518396 |
Real period |
R |
2.2633857187465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bw1 3465d1 17325b1 24255w1 |
Quadratic twists by: -4 -3 5 -7 |