Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290y |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18923520 |
Modular degree for the optimal curve |
Δ |
-2.2675859808803E+25 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,37056127,212034463733] |
[a1,a2,a3,a4,a6] |
Generators |
[-4659404720022:31467162148811:1167575877] |
Generators of the group modulo torsion |
j |
78716413996793/317194240000 |
j-invariant |
L |
5.420492535579 |
L(r)(E,1)/r! |
Ω |
0.048296253288228 |
Real period |
R |
14.02927806656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59290cf1 5390bb1 |
Quadratic twists by: -7 -11 |