Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258h |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-2086787647309222 = -1 · 2 · 113 · 138 · 312 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11- 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-432306,109390322] |
[a1,a2,a3,a4,a6] |
Generators |
[382:-21:1] |
Generators of the group modulo torsion |
j |
-10953407349625/2558182 |
j-invariant |
L |
2.6327594567359 |
L(r)(E,1)/r! |
Ω |
0.45248691468768 |
Real period |
R |
2.9092105793742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069358 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
115258k1 |
Quadratic twists by: 13 |