Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360bh |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-99735332400 = -1 · 24 · 34 · 52 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1495,26450] |
[a1,a2,a3,a4,a6] |
Generators |
[35:135:1] |
Generators of the group modulo torsion |
j |
-23110948673536/6233458275 |
j-invariant |
L |
6.0558027388615 |
L(r)(E,1)/r! |
Ω |
1.0110956860516 |
Real period |
R |
1.4973367067042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60720i1 91080o1 |
Quadratic twists by: -4 -3 |