Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120cl |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-256245760 = -1 · 217 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,148,336] |
[a1,a2,a3,a4,a6] |
Generators |
[80:724:1] |
Generators of the group modulo torsion |
j |
2735262/1955 |
j-invariant |
L |
8.3664961643221 |
L(r)(E,1)/r! |
Ω |
1.1105873020594 |
Real period |
R |
3.7666989821137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120z1 31280b1 |
Quadratic twists by: -4 8 |