Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bb |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
78852096 = 212 · 33 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 -1 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10251,399482] |
[a1,a2,a3,a4,a6] |
Generators |
[58:6:1] |
Generators of the group modulo torsion |
j |
1077205843251/713 |
j-invariant |
L |
7.7336374065562 |
L(r)(E,1)/r! |
Ω |
1.5960595466121 |
Real period |
R |
1.2113641696888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6417c1 102672x1 |
Quadratic twists by: -4 -3 |