Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2482d |
Isogeny class |
Conductor |
2482 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-2869192 = -1 · 23 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56,174] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-18927429625/2869192 |
j-invariant |
L |
1.4184767365054 |
L(r)(E,1)/r! |
Ω |
2.4561780817862 |
Real period |
R |
1.7325413987986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19856g1 79424f1 22338h1 62050s1 |
Quadratic twists by: -4 8 -3 5 |