Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640b |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29852160 |
Modular degree for the optimal curve |
Δ |
-2.8962345906327E+27 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,154905344,-2480587728956] |
[a1,a2,a3,a4,a6] |
Generators |
[17644505219338160400563672138659592007629490:1797797908089640785381883296211156574509113352:1350900800018892827369746539072853143151] |
Generators of the group modulo torsion |
j |
2911986995665436/20516357421875 |
j-invariant |
L |
6.2221270218843 |
L(r)(E,1)/r! |
Ω |
0.022508257152987 |
Real period |
R |
69.109382610047 |
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 |
47320h1 94640bh1 |
Quadratic twists by: -4 13 |