Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370k |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-87136624090 = -1 · 2 · 5 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,848,10914] |
[a1,a2,a3,a4,a6] |
Generators |
[65109:520158:1331] |
Generators of the group modulo torsion |
j |
186467695199/241375690 |
j-invariant |
L |
6.9562490146261 |
L(r)(E,1)/r! |
Ω |
0.72368488085179 |
Real period |
R |
4.8061312309234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370v2 |
Quadratic twists by: -19 |