Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400o |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-27675000000 = -1 · 26 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 5 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2458,48412] |
[a1,a2,a3,a4,a6] |
j |
-65721280/1107 |
j-invariant |
L |
2.372481324813 |
L(r)(E,1)/r! |
Ω |
1.1862405589723 |
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 |
98400bl1 98400cm1 |
Quadratic twists by: -4 5 |