Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192p |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3462119174721536 = -1 · 212 · 72 · 297 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -5 -5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,2831024] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1582:1] [10:-1682:1] |
Generators of the group modulo torsion |
j |
-1/1421 |
j-invariant |
L |
8.7555210955976 |
L(r)(E,1)/r! |
Ω |
0.35418267242201 |
Real period |
R |
1.5450221342116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5887a1 3248j1 |
Quadratic twists by: -4 29 |