Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cw |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
2928640 |
Modular degree for the optimal curve |
Δ |
-9.9882403988928E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1724402,-1245397192] |
[a1,a2,a3,a4,a6] |
Generators |
[713:18630:1] |
Generators of the group modulo torsion |
j |
70884132211471150144/124853004986159763 |
j-invariant |
L |
7.5299670318461 |
L(r)(E,1)/r! |
Ω |
0.081954760397495 |
Real period |
R |
0.88345727327123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bx1 110400hf1 55200q1 |
Quadratic twists by: -4 8 5 |