Atkin-Lehner |
3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325ct |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-106398404296875 = -1 · 38 · 59 · 192 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 6 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11625,116406] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-1188:1] |
Generators of the group modulo torsion |
j |
122023936/74727 |
j-invariant |
L |
3.4533137418595 |
L(r)(E,1)/r! |
Ω |
0.36685175280835 |
Real period |
R |
1.176672090766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999711409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775bm1 98325co1 |
Quadratic twists by: -3 5 |