Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568c |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-5249353077946368 = -1 · 211 · 33 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 5 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28749,-2937874] |
[a1,a2,a3,a4,a6] |
Generators |
[3478:205350:1] |
Generators of the group modulo torsion |
j |
18522/37 |
j-invariant |
L |
5.5929084295215 |
L(r)(E,1)/r! |
Ω |
0.22427970072558 |
Real period |
R |
3.1171503714227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98568o1 2664e1 |
Quadratic twists by: -3 37 |