Atkin-Lehner |
3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997i |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-177408137891859 = -1 · 3 · 77 · 195 · 29 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 5 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10911,463532] |
[a1,a2,a3,a4,a6] |
Generators |
[320:6051:1] |
Generators of the group modulo torsion |
j |
1220925980672/1507944291 |
j-invariant |
L |
6.3382142593678 |
L(r)(E,1)/r! |
Ω |
0.38224728587487 |
Real period |
R |
1.6581450005155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11571g1 |
Quadratic twists by: -7 |