Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400l |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-23832800000000 = -1 · 211 · 58 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 5 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47875,-4038750] |
[a1,a2,a3,a4,a6] |
Generators |
[261:1116:1] |
Generators of the group modulo torsion |
j |
-15169109490/29791 |
j-invariant |
L |
4.7575983949405 |
L(r)(E,1)/r! |
Ω |
0.16135827798937 |
Real period |
R |
2.4570572879926 |
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 |
6200g1 49600ct1 111600cb1 12400f1 |
Quadratic twists by: -4 8 -3 5 |