Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605l |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
-1728403327288176075 = -1 · 39 · 52 · 378 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 6 7 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123467,-65389066] |
[a1,a2,a3,a4,a6] |
Generators |
[12341298:23800004:24389] |
Generators of the group modulo torsion |
j |
-81289/675 |
j-invariant |
L |
5.157895421673 |
L(r)(E,1)/r! |
Ω |
0.11197008093402 |
Real period |
R |
11.516235808557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20535c1 61605d1 |
Quadratic twists by: -3 37 |