Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gw |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
14155776 |
Modular degree for the optimal curve |
Δ |
2.5737445317782E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27830188,-50977879219] |
[a1,a2,a3,a4,a6] |
Generators |
[-2395:45297:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
7.8507093975293 |
L(r)(E,1)/r! |
Ω |
0.066190965515814 |
Real period |
R |
1.853233794489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bl1 13650cv1 |
Quadratic twists by: 5 -7 |