Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310q |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27648562076100 = 22 · 32 · 52 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50103,-4330143] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:111:1] |
Generators of the group modulo torsion |
j |
118233407998441/235008900 |
j-invariant |
L |
4.0390212152167 |
L(r)(E,1)/r! |
Ω |
0.31914228682175 |
Real period |
R |
3.1639658724162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985668 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330n2 |
Quadratic twists by: -7 |