Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798n |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
537111996049763136 = 26 · 311 · 197 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1116761,-453337945] |
[a1,a2,a3,a4,a6] |
Generators |
[-613:1472:1] |
Generators of the group modulo torsion |
j |
3274031454654169/11416769856 |
j-invariant |
L |
8.5205287217196 |
L(r)(E,1)/r! |
Ω |
0.14689281684198 |
Real period |
R |
4.8337561592741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042g1 |
Quadratic twists by: -19 |