Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800es |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-98843739130080000 = -1 · 28 · 37 · 54 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260108,53166588] |
[a1,a2,a3,a4,a6] |
j |
-43061200/2187 |
j-invariant |
L |
4.6610477337729 |
L(r)(E,1)/r! |
Ω |
0.33293198083266 |
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 |
29400dp1 58800bm1 58800bq1 |
Quadratic twists by: -4 5 -7 |