Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315s |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-3942003475575 = -1 · 318 · 52 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-279,-95472] |
[a1,a2,a3,a4,a6] |
Generators |
[4368:52312:27] |
Generators of the group modulo torsion |
j |
-3301293169/5407412175 |
j-invariant |
L |
5.2821488043178 |
L(r)(E,1)/r! |
Ω |
0.35428729928345 |
Real period |
R |
7.4546121396406 |
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 |
6105g1 91575bh1 |
Quadratic twists by: -3 5 |