Atkin-Lehner |
2- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cb |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
61499200 = 26 · 52 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93078,-10968749] |
[a1,a2,a3,a4,a6] |
Generators |
[-4767:2371:27] |
Generators of the group modulo torsion |
j |
3567180815608740745/2459968 |
j-invariant |
L |
7.4623568390757 |
L(r)(E,1)/r! |
Ω |
0.27333029474344 |
Real period |
R |
2.2751340655895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bg1 |
Quadratic twists by: 5 |