Atkin-Lehner |
2+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638b |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-4108077254156288 = -1 · 213 · 79 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11294,-3044236] |
[a1,a2,a3,a4,a6] |
Generators |
[958:1187:8] [209:-3020:1] |
Generators of the group modulo torsion |
j |
1354000227047/34918080512 |
j-invariant |
L |
5.134679979333 |
L(r)(E,1)/r! |
Ω |
0.21238309176283 |
Real period |
R |
3.022062594905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234c1 |
Quadratic twists by: -7 |