Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9300h |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
753300000000 = 28 · 35 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 3 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,12537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:175:1] |
Generators of the group modulo torsion |
j |
14049280/7533 |
j-invariant |
L |
4.3581529266752 |
L(r)(E,1)/r! |
Ω |
0.78625328500955 |
Real period |
R |
1.8476458794158 |
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 |
37200ea1 27900q1 9300k1 |
Quadratic twists by: -4 -3 5 |