Atkin-Lehner |
7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77959d |
Isogeny class |
Conductor |
77959 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-6628467868974091 = -1 · 713 · 37 · 432 |
Discriminant |
Eigenvalues |
-2 0 -3 7- 3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,25921,3572602] |
[a1,a2,a3,a4,a6] |
Generators |
[385:8403:1] |
Generators of the group modulo torsion |
j |
16371585036288/56341047259 |
j-invariant |
L |
2.1403511155581 |
L(r)(E,1)/r! |
Ω |
0.29899464659263 |
Real period |
R |
0.89481163602732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11137c1 |
Quadratic twists by: -7 |