Atkin-Lehner |
2- 3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bi |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-57857732352 = -1 · 28 · 38 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,850,6333] |
[a1,a2,a3,a4,a6] |
Generators |
[21:171:1] |
Generators of the group modulo torsion |
j |
93267830375/79365888 |
j-invariant |
L |
10.407929934603 |
L(r)(E,1)/r! |
Ω |
0.72233923879612 |
Real period |
R |
1.8010806721335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526d1 |
Quadratic twists by: -3 |