Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650m |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1258168826601562500 = 22 · 36 · 510 · 174 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-302250,34200000] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:9960:1] |
Generators of the group modulo torsion |
j |
195436132524416161/80522804902500 |
j-invariant |
L |
1.9743105716281 |
L(r)(E,1)/r! |
Ω |
0.24677199919817 |
Real period |
R |
1.0000681691827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730q2 |
Quadratic twists by: 5 |