Atkin-Lehner |
3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325f |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1312480316162109375 = 39 · 516 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1529255,726185872] |
[a1,a2,a3,a4,a6] |
Generators |
[379:13985:1] [4382:55855:8] |
Generators of the group modulo torsion |
j |
1286032235748723/4267578125 |
j-invariant |
L |
7.6520122008756 |
L(r)(E,1)/r! |
Ω |
0.27259869532912 |
Real period |
R |
14.035305984082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325i2 19665d2 |
Quadratic twists by: -3 5 |