Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200by |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
568320 |
Modular degree for the optimal curve |
Δ |
-3322336000000000 = -1 · 214 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -2 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-259333,-50820963] |
[a1,a2,a3,a4,a6] |
Generators |
[4967993339292:41164420151375:8012006001] |
Generators of the group modulo torsion |
j |
-60276601856/103823 |
j-invariant |
L |
10.813576983465 |
L(r)(E,1)/r! |
Ω |
0.10576942404451 |
Real period |
R |
17.039544715863 |
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 |
75200dn1 9400o1 75200bm1 |
Quadratic twists by: -4 8 5 |