Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640ba |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-301155176448000000 = -1 · 218 · 33 · 56 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -7 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167384,-1591184] |
[a1,a2,a3,a4,a6] |
Generators |
[138:9125:8] |
Generators of the group modulo torsion |
j |
126620200153748951/73524213000000 |
j-invariant |
L |
4.6612217661567 |
L(r)(E,1)/r! |
Ω |
0.18187798456892 |
Real period |
R |
2.1356908688044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999904729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330i2 |
Quadratic twists by: -4 |