Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715p |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5472000 |
Modular degree for the optimal curve |
Δ |
-812504270608340625 = -1 · 37 · 55 · 7 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38914965,-93428184294] |
[a1,a2,a3,a4,a6] |
Generators |
[549549459874381138585135258692439012574588346:55376584005237578655131319814877566958679233610:40356464158948094592390654286089527907643] |
Generators of the group modulo torsion |
j |
-526401738615601/65625 |
j-invariant |
L |
8.548675731223 |
L(r)(E,1)/r! |
Ω |
0.03022319645958 |
Real period |
R |
70.712869026409 |
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 |
37905v1 113715v1 |
Quadratic twists by: -3 -19 |