Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530be |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-9.6728744943359E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12818737,43899083138] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:-253880:1] |
Generators of the group modulo torsion |
j |
131493220370352740159/546008548073472000 |
j-invariant |
L |
7.4117410908147 |
L(r)(E,1)/r! |
Ω |
0.062890554217305 |
Real period |
R |
0.61380947705437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bd1 |
Quadratic twists by: -11 |