Atkin-Lehner |
2+ 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010c |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-535099668480 = -1 · 211 · 33 · 5 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,-64915] |
[a1,a2,a3,a4,a6] |
j |
-84737566171467/19818506240 |
j-invariant |
L |
0.65148562728532 |
L(r)(E,1)/r! |
Ω |
0.32574281554834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010bi1 |
Quadratic twists by: -3 |