Atkin-Lehner |
2- 3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370r |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-519454840320000 = -1 · 212 · 39 · 54 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13957,890731] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-1378:1] |
Generators of the group modulo torsion |
j |
15276991135797/26391040000 |
j-invariant |
L |
6.804967576042 |
L(r)(E,1)/r! |
Ω |
0.35729503364343 |
Real period |
R |
0.79357474623642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370c1 |
Quadratic twists by: -3 |