Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325j |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-921796875 = -1 · 33 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 3 -4 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2925,60906] |
[a1,a2,a3,a4,a6] |
Generators |
[35:37:1] |
Generators of the group modulo torsion |
j |
-6560206848/2185 |
j-invariant |
L |
2.4405187145275 |
L(r)(E,1)/r! |
Ω |
1.5410175773526 |
Real period |
R |
0.19796324527498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325g1 19665j1 |
Quadratic twists by: -3 5 |