Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020ba |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
136971671760 = 24 · 33 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-40131] |
[a1,a2,a3,a4,a6] |
Generators |
[3556:1715:64] |
Generators of the group modulo torsion |
j |
28311552/2695 |
j-invariant |
L |
5.8942349074851 |
L(r)(E,1)/r! |
Ω |
0.68973986368286 |
Real period |
R |
4.2727955933993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020h1 13860d1 |
Quadratic twists by: -3 -7 |