Atkin-Lehner |
2- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10730c |
Isogeny class |
Conductor |
10730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-6706250000 = -1 · 24 · 58 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 5 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,324,3373] |
[a1,a2,a3,a4,a6] |
Generators |
[71:589:1] |
Generators of the group modulo torsion |
j |
3760754329151/6706250000 |
j-invariant |
L |
5.012015470517 |
L(r)(E,1)/r! |
Ω |
0.91464758871107 |
Real period |
R |
0.68496538070745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85840c1 96570k1 53650b1 |
Quadratic twists by: -4 -3 5 |