Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394ba |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
344960 |
Modular degree for the optimal curve |
Δ |
-1762219222656 = -1 · 27 · 3 · 236 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -5 -7 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8740,320162] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:817:1] |
Generators of the group modulo torsion |
j |
-498677257/11904 |
j-invariant |
L |
2.8091337138287 |
L(r)(E,1)/r! |
Ω |
0.83657685272251 |
Real period |
R |
1.678945384857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
186c1 |
Quadratic twists by: -23 |