Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300bz |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
1528081431710803200 = 28 · 36 · 52 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-623880,180104580] |
[a1,a2,a3,a4,a6] |
Generators |
[-744:15246:1] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
7.4426668725607 |
L(r)(E,1)/r! |
Ω |
0.26400201505169 |
Real period |
R |
0.13424621329731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7700f1 69300ch1 |
Quadratic twists by: -3 5 |