Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
30300b |
Isogeny class |
Conductor |
30300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
3636000000 = 28 · 32 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4133,-100863] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:6:1] |
Generators of the group modulo torsion |
j |
1952382976/909 |
j-invariant |
L |
3.5066494693818 |
L(r)(E,1)/r! |
Ω |
0.59543804861001 |
Real period |
R |
0.98153213351853 |
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 |
121200dr1 90900h1 1212a1 |
Quadratic twists by: -4 -3 5 |