Atkin-Lehner |
2+ 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
12390d |
Isogeny class |
Conductor |
12390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1096515000 = -1 · 23 · 32 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,207,1197] |
[a1,a2,a3,a4,a6] |
Generators |
[1:37:1] |
Generators of the group modulo torsion |
j |
973536925031/1096515000 |
j-invariant |
L |
2.6787873328233 |
L(r)(E,1)/r! |
Ω |
1.031262856402 |
Real period |
R |
1.2987897877798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120ch2 37170bk2 61950cf2 86730bi2 |
Quadratic twists by: -4 -3 5 -7 |