Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270a |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1660804300800 = -1 · 215 · 39 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 3 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2550,-37900] |
[a1,a2,a3,a4,a6] |
Generators |
[25:190:1] |
Generators of the group modulo torsion |
j |
93144487437/84377600 |
j-invariant |
L |
3.1412288385514 |
L(r)(E,1)/r! |
Ω |
0.46178961872019 |
Real period |
R |
1.700573546487 |
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 |
74160w1 9270r1 46350bm1 |
Quadratic twists by: -4 -3 5 |