Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25530h |
Isogeny class |
Conductor |
25530 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
36758400 |
Modular degree for the optimal curve |
Δ |
-4.7534027647474E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1190676323,29159467711741] |
[a1,a2,a3,a4,a6] |
Generators |
[-22788018:2590809049:1331] |
Generators of the group modulo torsion |
j |
186683039988069032606874152451239/475340276474740112810311680000 |
j-invariant |
L |
3.9901325403543 |
L(r)(E,1)/r! |
Ω |
0.020662372968234 |
Real period |
R |
4.82777625117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76590ca1 127650dg1 |
Quadratic twists by: -3 5 |