Atkin-Lehner |
3- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61065l |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-934313227108875 = -1 · 39 · 53 · 235 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -6 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6471,-1458540] |
[a1,a2,a3,a4,a6] |
Generators |
[336:6042:1] |
Generators of the group modulo torsion |
j |
41102915774831/1281636799875 |
j-invariant |
L |
7.4158656037079 |
L(r)(E,1)/r! |
Ω |
0.23949800544945 |
Real period |
R |
0.51607010183167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355c1 |
Quadratic twists by: -3 |