Atkin-Lehner |
3+ 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13485c |
Isogeny class |
Conductor |
13485 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
1555834748990625 = 33 · 55 · 296 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -4 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46362,-3360321] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:48721:1] |
Generators of the group modulo torsion |
j |
11021097300286156201/1555834748990625 |
j-invariant |
L |
4.4075162968668 |
L(r)(E,1)/r! |
Ω |
0.32841103684803 |
Real period |
R |
5.3682925387266 |
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 |
40455i1 67425f1 |
Quadratic twists by: -3 5 |