Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506p |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
2963520 |
Modular degree for the optimal curve |
Δ |
9.041290694579E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7881959,7183674218] |
[a1,a2,a3,a4,a6] |
Generators |
[-2706:94624:1] |
Generators of the group modulo torsion |
j |
54153452174452415947162729/9041290694578979657856 |
j-invariant |
L |
4.220456317843 |
L(r)(E,1)/r! |
Ω |
0.12411423148947 |
Real period |
R |
0.10795115003418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518bm1 |
Quadratic twists by: -3 |