Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2788154454952525824 = -1 · 214 · 38 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192031356,-1024250861392] |
[a1,a2,a3,a4,a6] |
Generators |
[41815068581219837533896576087791961493493634859571993576399020:5476479383655553854232480583725322395803178721401144997177661504:1605894924564069310931367715903683829617328723894066034875] |
Generators of the group modulo torsion |
j |
-2527934627152/9 |
j-invariant |
L |
7.8238882661392 |
L(r)(E,1)/r! |
Ω |
0.020278065510841 |
Real period |
R |
96.457527740458 |
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 |
69696gr2 4356j2 23232z2 69696da2 |
Quadratic twists by: -4 8 -3 -11 |