Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020b |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
54882362908880 = 24 · 5 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45968,-3776643] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:118:1] [96562:10607069:8] |
Generators of the group modulo torsion |
j |
139094654976/710645 |
j-invariant |
L |
10.280227443488 |
L(r)(E,1)/r! |
Ω |
0.3261513764841 |
Real period |
R |
31.519803945745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540d1 |
Quadratic twists by: 13 |