Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446cf |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
7792927169412 = 22 · 3 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5440,-78499] |
[a1,a2,a3,a4,a6] |
j |
151334226289/66238788 |
j-invariant |
L |
2.3146658088192 |
L(r)(E,1)/r! |
Ω |
0.57866645555634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778y1 |
Quadratic twists by: -7 |