Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780l |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
551232 |
Modular degree for the optimal curve |
Δ |
-8617695122156400 = -1 · 24 · 311 · 52 · 74 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26150,4150525] |
[a1,a2,a3,a4,a6] |
Generators |
[75:2555:1] |
Generators of the group modulo torsion |
j |
51476622143744/224325674775 |
j-invariant |
L |
6.284505995958 |
L(r)(E,1)/r! |
Ω |
0.29527793523494 |
Real period |
R |
3.5472263072314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780z1 |
Quadratic twists by: -7 |