Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730o |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1.0201424890342E+19 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 11- 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-369859,-176287787] |
[a1,a2,a3,a4,a6] |
Generators |
[1367:42574:1] |
Generators of the group modulo torsion |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
2.6237042529971 |
L(r)(E,1)/r! |
Ω |
0.091264335176275 |
Real period |
R |
0.7187101752096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840cm1 78650cr1 1430k1 |
Quadratic twists by: -4 5 -11 |