Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960k |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
100386000 = 24 · 33 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1362,-19341] |
[a1,a2,a3,a4,a6] |
Generators |
[43:40:1] |
Generators of the group modulo torsion |
j |
646801901568/232375 |
j-invariant |
L |
7.2868785610152 |
L(r)(E,1)/r! |
Ω |
0.78589520966954 |
Real period |
R |
3.090691343734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480bd1 102960a1 |
Quadratic twists by: -4 -3 |