Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30300d |
Isogeny class |
Conductor |
30300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
48480000 = 28 · 3 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,312] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
878800/303 |
j-invariant |
L |
4.9936770541635 |
L(r)(E,1)/r! |
Ω |
1.8471062536277 |
Real period |
R |
0.30039041063741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200dx1 90900u1 30300k1 |
Quadratic twists by: -4 -3 5 |