Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020h |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
99852348713040 = 24 · 39 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21168,1083537] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1323:1] |
Generators of the group modulo torsion |
j |
28311552/2695 |
j-invariant |
L |
4.7586577151383 |
L(r)(E,1)/r! |
Ω |
0.58207680665176 |
Real period |
R |
1.3625514892341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97020ba1 13860g1 |
Quadratic twists by: -3 -7 |