Atkin-Lehner |
2+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120b |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-27977500000000 = -1 · 28 · 510 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436,254364] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:392:1] |
Generators of the group modulo torsion |
j |
-35887146064/109287109375 |
j-invariant |
L |
4.2633320232575 |
L(r)(E,1)/r! |
Ω |
0.53430727730706 |
Real period |
R |
3.9895882054413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23560f1 |
Quadratic twists by: -4 |