Atkin-Lehner |
2- 3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870z |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
-4.9615467214192E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1842143,-1019817849] |
[a1,a2,a3,a4,a6] |
Generators |
[6293:483240:1] |
Generators of the group modulo torsion |
j |
-948344179850502823081/68059625808219840 |
j-invariant |
L |
12.643320125879 |
L(r)(E,1)/r! |
Ω |
0.064528006993615 |
Real period |
R |
2.3325641554201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290g1 |
Quadratic twists by: -3 |