Atkin-Lehner |
2- 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350y |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-23308037562500000 = -1 · 25 · 59 · 232 · 893 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138063,21009781] |
[a1,a2,a3,a4,a6] |
Generators |
[565:-11408:1] [-442:42905:8] |
Generators of the group modulo torsion |
j |
-18626694891526441/1491714404000 |
j-invariant |
L |
12.991105158022 |
L(r)(E,1)/r! |
Ω |
0.37234089700026 |
Real period |
R |
0.58150587551564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470d1 |
Quadratic twists by: 5 |