Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056bg |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
2419037812740096 = 212 · 39 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3- 3 1 3 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34176,560432] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:1269:1] |
Generators of the group modulo torsion |
j |
1478427148288/810130869 |
j-invariant |
L |
10.513622519241 |
L(r)(E,1)/r! |
Ω |
0.39911010816209 |
Real period |
R |
1.0976108968459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7191g1 38352h1 |
Quadratic twists by: -4 -3 |