Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23120v |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
5580605952800000 = 28 · 55 · 178 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 1 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78608,7683932] |
[a1,a2,a3,a4,a6] |
Generators |
[202:218:1] |
Generators of the group modulo torsion |
j |
30081024/3125 |
j-invariant |
L |
3.8546986903434 |
L(r)(E,1)/r! |
Ω |
0.41522688990831 |
Real period |
R |
4.6416775792081 |
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 |
5780b1 92480eh1 115600cg1 23120ba1 |
Quadratic twists by: -4 8 5 17 |