Atkin-Lehner |
2- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
77900f |
Isogeny class |
Conductor |
77900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-130949900000000 = -1 · 28 · 58 · 19 · 413 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 2 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6800,506500] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-2050:1] [80:1250:1] |
Generators of the group modulo torsion |
j |
8693415936/32737475 |
j-invariant |
L |
6.2193656653095 |
L(r)(E,1)/r! |
Ω |
0.41618776933228 |
Real period |
R |
0.41510147606122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15580d1 |
Quadratic twists by: 5 |