Atkin-Lehner |
3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bi |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-380437022109375 = -1 · 312 · 57 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17787,-215208] |
[a1,a2,a3,a4,a6] |
Generators |
[126:2037:8] [21:399:1] |
Generators of the group modulo torsion |
j |
39829997144951/24347969415 |
j-invariant |
L |
8.9282272605765 |
L(r)(E,1)/r! |
Ω |
0.31001598690234 |
Real period |
R |
4.7998746511357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985444 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635a1 |
Quadratic twists by: 5 |