Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79054h |
Isogeny class |
Conductor |
79054 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58800 |
Modular degree for the optimal curve |
Δ |
-59448608 = -1 · 25 · 292 · 472 |
Discriminant |
Eigenvalues |
2- -3 -4 -2 3 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-55:1] |
Generators of the group modulo torsion |
j |
-9526761/70688 |
j-invariant |
L |
4.277122102764 |
L(r)(E,1)/r! |
Ω |
0.83106280539911 |
Real period |
R |
0.51465690367258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79054c1 |
Quadratic twists by: 29 |