Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350p |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
2297375156250000 = 24 · 311 · 510 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102042,12358116] |
[a1,a2,a3,a4,a6] |
Generators |
[24:3138:1] |
Generators of the group modulo torsion |
j |
10316097499609/201690000 |
j-invariant |
L |
4.1139729219668 |
L(r)(E,1)/r! |
Ω |
0.4608705914986 |
Real period |
R |
2.2316312853622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450v1 7470m1 |
Quadratic twists by: -3 5 |