Atkin-Lehner |
2+ 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562h |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
-11144023639265376 = -1 · 25 · 33 · 178 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 3 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-82804,-10518224] |
[a1,a2,a3,a4,a6] |
Generators |
[5110:109933:8] |
Generators of the group modulo torsion |
j |
-9001077193/1597536 |
j-invariant |
L |
1.7289728788318 |
L(r)(E,1)/r! |
Ω |
0.13937264076438 |
Real period |
R |
6.2026982773996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74562o1 |
Quadratic twists by: 17 |