Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190k |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
200153890720 = 25 · 5 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6085,-179915] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:48:1] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
1.5384408819046 |
L(r)(E,1)/r! |
Ω |
0.54080590940025 |
Real period |
R |
1.4223595333959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520bn1 75950ct1 2170d1 |
Quadratic twists by: -4 5 -7 |