Atkin-Lehner |
5+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120575b |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
34824273681640625 = 514 · 72 · 133 · 53 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2976880,1977648122] |
[a1,a2,a3,a4,a6] |
Generators |
[158:38795:1] |
Generators of the group modulo torsion |
j |
186718579292055611529/2228753515625 |
j-invariant |
L |
4.0721114327954 |
L(r)(E,1)/r! |
Ω |
0.33372726452111 |
Real period |
R |
6.1009571763079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998378633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24115a1 |
Quadratic twists by: 5 |