Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288d |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12729600 |
Modular degree for the optimal curve |
Δ |
-2.2078976304916E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 4 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5264744,-23078670564] |
[a1,a2,a3,a4,a6] |
Generators |
[4952154445126553063099593825792938584937552813110:264720366149070060009309351137671592689009047121396:1011392849892839085304322828783227882709147711] |
Generators of the group modulo torsion |
j |
-114319966852/1564031349 |
j-invariant |
L |
6.5489507112826 |
L(r)(E,1)/r! |
Ω |
0.042586825451857 |
Real period |
R |
76.889397622347 |
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 |
93288z1 |
Quadratic twists by: 13 |