Atkin-Lehner |
2+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800bf |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
542720000 = 214 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 -1 -2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3733,89037] |
[a1,a2,a3,a4,a6] |
Generators |
[36:3:1] [234:507:8] |
Generators of the group modulo torsion |
j |
561971200/53 |
j-invariant |
L |
13.034739430278 |
L(r)(E,1)/r! |
Ω |
1.5724801575844 |
Real period |
R |
8.2892870651944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800co1 5300g1 84800y1 |
Quadratic twists by: -4 8 5 |