Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694c |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
-2513522376772932096 = -1 · 29 · 317 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11+ 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2228437,-1283607827] |
[a1,a2,a3,a4,a6] |
Generators |
[311742107432917364805:734036780986011612591709:56203893222625] |
Generators of the group modulo torsion |
j |
-32193903207227411/66119763456 |
j-invariant |
L |
4.378222147101 |
L(r)(E,1)/r! |
Ω |
0.061775461101541 |
Real period |
R |
35.436580067807 |
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 |
122694bs1 122694bu1 |
Quadratic twists by: -11 13 |