Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650m |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3384332320985156250 = 2 · 33 · 58 · 178 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4183500,3290568750] |
[a1,a2,a3,a4,a6] |
Generators |
[1271:4711:1] |
Generators of the group modulo torsion |
j |
518230737293021012161/216597268543050 |
j-invariant |
L |
1.9743105716281 |
L(r)(E,1)/r! |
Ω |
0.24677199919817 |
Real period |
R |
2.0001363383653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730q4 |
Quadratic twists by: 5 |