Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fo |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5729926003200 = -1 · 29 · 311 · 52 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,-113043] |
[a1,a2,a3,a4,a6] |
Generators |
[53:315:1] |
Generators of the group modulo torsion |
j |
23497109375/314399232 |
j-invariant |
L |
11.357254335619 |
L(r)(E,1)/r! |
Ω |
0.37215602148441 |
Real period |
R |
0.84770706071492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950m1 59850cv1 |
Quadratic twists by: -3 5 |