Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370j |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-812268829261646720 = -1 · 27 · 5 · 175 · 197 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -5 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,146198,37708244] |
[a1,a2,a3,a4,a6] |
Generators |
[3209:181603:1] |
Generators of the group modulo torsion |
j |
7345506701519/17265461120 |
j-invariant |
L |
3.5174441011913 |
L(r)(E,1)/r! |
Ω |
0.19682923599766 |
Real period |
R |
4.4676341946727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3230f1 |
Quadratic twists by: -19 |