Atkin-Lehner |
3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545a |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
908160 |
Modular degree for the optimal curve |
Δ |
-12224626904296875 = -1 · 3 · 511 · 193 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -1 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,45992,-3707177] |
[a1,a2,a3,a4,a6] |
Generators |
[113226:2716133:216] |
Generators of the group modulo torsion |
j |
1568537989659269/1782275390625 |
j-invariant |
L |
3.7097371777477 |
L(r)(E,1)/r! |
Ω |
0.2159681169751 |
Real period |
R |
8.5886223220274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124545v1 |
Quadratic twists by: -19 |