Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cf |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1677747139473E+32 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3430512792,-525640859400384] |
[a1,a2,a3,a4,a6] |
Generators |
[1659966970122758773477495319527644073224117:2151630159304132931287325314189109723317231341:985948202540268700087186057778386199] |
Generators of the group modulo torsion |
j |
-391970413583429733188386489/10252068819290850263040000 |
j-invariant |
L |
4.3324703484572 |
L(r)(E,1)/r! |
Ω |
0.0080982240426359 |
Real period |
R |
66.873772655901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950cx2 11970ca2 |
Quadratic twists by: -3 5 |