Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1713600 |
Modular degree for the optimal curve |
Δ |
-534704844901500000 = -1 · 25 · 317 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35376,-35277602] |
[a1,a2,a3,a4,a6] |
Generators |
[1238:42027:1] |
Generators of the group modulo torsion |
j |
-6394640503489/698390001504 |
j-invariant |
L |
5.9501123207898 |
L(r)(E,1)/r! |
Ω |
0.1296316069106 |
Real period |
R |
1.3500048930981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822u1 95550f1 |
Quadratic twists by: 5 -7 |