Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bh |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
108000 |
Modular degree for the optimal curve |
Δ |
-3111064453125 = -1 · 36 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 0 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-84834] |
[a1,a2,a3,a4,a6] |
Generators |
[2754729859328070:1782103334472952:60490189506375] |
Generators of the group modulo torsion |
j |
-25/437 |
j-invariant |
L |
9.285505500636 |
L(r)(E,1)/r! |
Ω |
0.36408511863523 |
Real period |
R |
25.503666657519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10925a1 98325cb1 |
Quadratic twists by: -3 5 |