Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520s |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
21716697143120 = 24 · 5 · 710 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195575,-33224470] |
[a1,a2,a3,a4,a6] |
Generators |
[366421020790138374904720069943243454:-11730035636020618273007518096976946724:302801192497272293094131997157287] |
Generators of the group modulo torsion |
j |
439498833516544/11536805 |
j-invariant |
L |
12.532673521703 |
L(r)(E,1)/r! |
Ω |
0.22702397258648 |
Real period |
R |
55.204185825572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760p1 17360a1 |
Quadratic twists by: -4 -7 |