Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520z |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-330548428800000 = -1 · 217 · 39 · 55 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3090123,-2090796678] |
[a1,a2,a3,a4,a6] |
Generators |
[2278437:3439183968:1] |
Generators of the group modulo torsion |
j |
-40476203551642923/4100000 |
j-invariant |
L |
4.8912662956878 |
L(r)(E,1)/r! |
Ω |
0.056934513597694 |
Real period |
R |
10.738798811583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690n1 118080dp1 29520bc1 |
Quadratic twists by: -4 8 -3 |