Atkin-Lehner |
2- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114608h |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2284128 |
Modular degree for the optimal curve |
Δ |
-184335766212246272 = -1 · 28 · 133 · 19 · 297 |
Discriminant |
Eigenvalues |
2- 3 0 0 -3 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-616600,-187501636] |
[a1,a2,a3,a4,a6] |
Generators |
[380089740779869974847769372229733748232191853577962:23905398739297273559673014808085765076527958384741074:92332819594799498153620361079274018198512224259] |
Generators of the group modulo torsion |
j |
-101273147551872000000/720061586766587 |
j-invariant |
L |
13.594813057423 |
L(r)(E,1)/r! |
Ω |
0.085149918123828 |
Real period |
R |
79.828691306863 |
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 |
28652b1 |
Quadratic twists by: -4 |