Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800r |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1836800 = -1 · 28 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,-170] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
-2874960/287 |
j-invariant |
L |
3.3104741259109 |
L(r)(E,1)/r! |
Ω |
0.87162152041433 |
Real period |
R |
1.8990318429386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000245875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57400d1 114800v1 |
Quadratic twists by: -4 5 |