Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680g |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
852955250000 = 24 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2515,-18738] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:980:27] |
Generators of the group modulo torsion |
j |
934979584/453125 |
j-invariant |
L |
11.847142599481 |
L(r)(E,1)/r! |
Ω |
0.70771897324817 |
Real period |
R |
2.7899828054275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840f1 2320b1 |
Quadratic twists by: -4 -7 |