Atkin-Lehner |
3- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60255d |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
73209825 = 37 · 52 · 13 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18833,-990048] |
[a1,a2,a3,a4,a6] |
Generators |
[-423200050:208172838:5359375] |
Generators of the group modulo torsion |
j |
1013288430066121/100425 |
j-invariant |
L |
4.2096952982082 |
L(r)(E,1)/r! |
Ω |
0.40754116468471 |
Real period |
R |
10.32949714753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20085d1 |
Quadratic twists by: -3 |