Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780d |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1285920 |
Modular degree for the optimal curve |
Δ |
132162332088165120 = 28 · 319 · 5 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136236,-8241624] |
[a1,a2,a3,a4,a6] |
Generators |
[-247:3206:1] |
Generators of the group modulo torsion |
j |
454957078323664/215018371395 |
j-invariant |
L |
3.6969510905582 |
L(r)(E,1)/r! |
Ω |
0.26025420346319 |
Real period |
R |
4.7350513769413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780bv1 |
Quadratic twists by: -7 |