Atkin-Lehner |
3- 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bt |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1133568 |
Modular degree for the optimal curve |
Δ |
-2496259976777287875 = -1 · 37 · 53 · 7 · 11 · 179 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-358077,-112161515] |
[a1,a2,a3,a4,a6] |
j |
-6965069634704502784/3424224933850875 |
j-invariant |
L |
5.1490763893327 |
L(r)(E,1)/r! |
Ω |
0.095353266516359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635g1 |
Quadratic twists by: -3 |