Atkin-Lehner |
2- 11+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35464d |
Isogeny class |
Conductor |
35464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-63307350419456 = -1 · 211 · 114 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 1 -3 5 11+ 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3712,-393824] |
[a1,a2,a3,a4,a6] |
Generators |
[387:7502:1] |
Generators of the group modulo torsion |
j |
-2762705896706/30911792197 |
j-invariant |
L |
6.2414570441801 |
L(r)(E,1)/r! |
Ω |
0.26442825522047 |
Real period |
R |
1.9669661243828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70928e1 |
Quadratic twists by: -4 |