Atkin-Lehner |
3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997f |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
10935056439909 = 310 · 72 · 194 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- -2 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25860,1601354] |
[a1,a2,a3,a4,a6] |
Generators |
[58:541:1] [84:121:1] |
Generators of the group modulo torsion |
j |
39032825288740864/223164417141 |
j-invariant |
L |
5.361591337204 |
L(r)(E,1)/r! |
Ω |
0.72332997148681 |
Real period |
R |
1.8530931761857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80997j1 |
Quadratic twists by: -7 |