Atkin-Lehner |
2- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760t |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-151606000 = -1 · 24 · 53 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43706,-3502369] |
[a1,a2,a3,a4,a6] |
Generators |
[260635738614879406707110724380817417:9876172859054715481859502897981878809:177515347541943386325741617756349] |
Generators of the group modulo torsion |
j |
-577081099253288704/9475375 |
j-invariant |
L |
9.3897719435182 |
L(r)(E,1)/r! |
Ω |
0.16509482687455 |
Real period |
R |
56.875022199533 |
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 |
30940d1 |
Quadratic twists by: -4 |