Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200l |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1144900800000000 = -1 · 212 · 32 · 58 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,-1673963] |
[a1,a2,a3,a4,a6] |
Generators |
[148:129:1] |
Generators of the group modulo torsion |
j |
-76264960/715563 |
j-invariant |
L |
5.9559391073789 |
L(r)(E,1)/r! |
Ω |
0.20677390821886 |
Real period |
R |
2.4003427842414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cr1 103200cg1 |
Quadratic twists by: -4 5 |