Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fz |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.7664122490256E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2352980408,-43930644236688] |
[a1,a2,a3,a4,a6] |
Generators |
[-3501496836597976169162:-186013464009198279350:124954255581273019] |
Generators of the group modulo torsion |
j |
191342053882402567201/129708022500 |
j-invariant |
L |
5.4433130464604 |
L(r)(E,1)/r! |
Ω |
0.021676791212111 |
Real period |
R |
31.389061422337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7350bc5 11760ch5 8400cc5 |
Quadratic twists by: -4 5 -7 |