Atkin-Lehner |
2+ 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416f |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
926080848 = 24 · 32 · 7 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-327,1638] |
[a1,a2,a3,a4,a6] |
Generators |
[996:1515:64] |
Generators of the group modulo torsion |
j |
242423339008/57880053 |
j-invariant |
L |
7.6124873470095 |
L(r)(E,1)/r! |
Ω |
1.4769137175126 |
Real period |
R |
5.1543209713226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832m1 94248v1 |
Quadratic twists by: -4 -3 |