Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bu |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15667200 |
Modular degree for the optimal curve |
Δ |
-6.3395971287797E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12671408,-42062736812] |
[a1,a2,a3,a4,a6] |
Generators |
[22708:3373450:1] |
Generators of the group modulo torsion |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
3.4851813399996 |
L(r)(E,1)/r! |
Ω |
0.037082667634087 |
Real period |
R |
7.8320089252064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999808997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350k1 4592d1 |
Quadratic twists by: -4 5 |