Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464ce |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
27183844448796672 = 236 · 33 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153704,21744180] |
[a1,a2,a3,a4,a6] |
Generators |
[295:1470:1] |
Generators of the group modulo torsion |
j |
98044243279969897/6636680773632 |
j-invariant |
L |
8.731973220324 |
L(r)(E,1)/r! |
Ω |
0.36795926455003 |
Real period |
R |
3.9551358163676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558c1 |
Quadratic twists by: -4 |