Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715c |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-39180340842045255 = -1 · 33 · 5 · 177 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67198,11618887] |
[a1,a2,a3,a4,a6] |
Generators |
[317836561122:13663958236967:5008988431] |
Generators of the group modulo torsion |
j |
-1390302566281/1623209895 |
j-invariant |
L |
5.8780969907568 |
L(r)(E,1)/r! |
Ω |
0.32955927023575 |
Real period |
R |
17.836235896677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395j1 |
Quadratic twists by: 17 |