Atkin-Lehner |
2+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27472h |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
127030528 = 28 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ 1 0 1 -5 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-541] |
[a1,a2,a3,a4,a6] |
Generators |
[22:85:1] |
Generators of the group modulo torsion |
j |
1557376000/496213 |
j-invariant |
L |
6.1641335610183 |
L(r)(E,1)/r! |
Ω |
1.3908640892764 |
Real period |
R |
1.4772911335104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13736b1 109888v1 |
Quadratic twists by: -4 8 |