Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112700i |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-22540000000 = -1 · 28 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 2 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,-5937] |
[a1,a2,a3,a4,a6] |
Generators |
[13:50:1] |
Generators of the group modulo torsion |
j |
57344/115 |
j-invariant |
L |
3.6277313743821 |
L(r)(E,1)/r! |
Ω |
0.62801625398231 |
Real period |
R |
0.48137440629196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998829926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22540i1 112700a1 |
Quadratic twists by: 5 -7 |