Atkin-Lehner |
2- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98900i |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4850496 |
Modular degree for the optimal curve |
Δ |
7.9831085205078E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3708800,-2389534875] |
[a1,a2,a3,a4,a6] |
Generators |
[355141730760:-18056212890625:94818816] |
Generators of the group modulo torsion |
j |
22567525731004317696/3193243408203125 |
j-invariant |
L |
3.753743772275 |
L(r)(E,1)/r! |
Ω |
0.10981499237012 |
Real period |
R |
11.394144809009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19780e1 |
Quadratic twists by: 5 |