Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350a |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2478524561562500 = 22 · 57 · 118 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106292,-13094884] |
[a1,a2,a3,a4,a6] |
Generators |
[30836:425057:64] |
Generators of the group modulo torsion |
j |
8499780703863441/158625571940 |
j-invariant |
L |
4.0601594053705 |
L(r)(E,1)/r! |
Ω |
0.26470757153638 |
Real period |
R |
7.6691410483749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4070f3 |
Quadratic twists by: 5 |