Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bi |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
373824 |
Modular degree for the optimal curve |
Δ |
-110064550781250 = -1 · 2 · 33 · 511 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11891,-74254] |
[a1,a2,a3,a4,a6] |
Generators |
[40:662:1] |
Generators of the group modulo torsion |
j |
84644996863643/50097656250 |
j-invariant |
L |
5.9390514702332 |
L(r)(E,1)/r! |
Ω |
0.34753892321606 |
Real period |
R |
2.8481469186478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330do1 |
Quadratic twists by: 13 |