Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80724n |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
-2638524262139136 = -1 · 28 · 313 · 7 · 314 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26588,1831844] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:558:1] |
Generators of the group modulo torsion |
j |
8791796912/11160261 |
j-invariant |
L |
7.1703609368725 |
L(r)(E,1)/r! |
Ω |
0.30585238167147 |
Real period |
R |
0.20037488633498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80724f1 |
Quadratic twists by: -31 |