Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312ba |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
236150199540589824 = 28 · 38 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-769692,258856612] |
[a1,a2,a3,a4,a6] |
Generators |
[312:7006:1] |
Generators of the group modulo torsion |
j |
46873007104/219501 |
j-invariant |
L |
6.9288706847871 |
L(r)(E,1)/r! |
Ω |
0.31480395704261 |
Real period |
R |
5.5025282656248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104l1 102312bi1 |
Quadratic twists by: -3 -7 |