Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bp |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
28454400 |
Modular degree for the optimal curve |
Δ |
-2.264918795414E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-372705208,2862433741088] |
[a1,a2,a3,a4,a6] |
Generators |
[47252:9526572:1] |
Generators of the group modulo torsion |
j |
-323194518662500/12784876137 |
j-invariant |
L |
9.0214784049112 |
L(r)(E,1)/r! |
Ω |
0.055467975598168 |
Real period |
R |
2.1400395801714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dd1 6600bd1 |
Quadratic twists by: 5 -11 |