Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178j |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-18873653280146 = -1 · 2 · 73 · 317 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15556,779386] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-531:1] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
1.4892191121713 |
L(r)(E,1)/r! |
Ω |
0.68089489325869 |
Real period |
R |
0.27339372212843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94178i1 3038b1 |
Quadratic twists by: -7 -31 |