Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200m |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-501126000000000 = -1 · 210 · 3 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96208,11568412] |
[a1,a2,a3,a4,a6] |
Generators |
[186:272:1] |
Generators of the group modulo torsion |
j |
-49241558516/250563 |
j-invariant |
L |
3.1508517178041 |
L(r)(E,1)/r! |
Ω |
0.52586032239201 |
Real period |
R |
1.4979508738516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400bp1 81600ev1 30600cp1 10200bm1 |
Quadratic twists by: -4 8 -3 5 |