Atkin-Lehner |
2+ 5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350p |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1626673664000000 = -1 · 215 · 56 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,28375,629125] |
[a1,a2,a3,a4,a6] |
Generators |
[29:1201:1] |
Generators of the group modulo torsion |
j |
161691571344239/104107114496 |
j-invariant |
L |
4.1042800370045 |
L(r)(E,1)/r! |
Ω |
0.29576626316317 |
Real period |
R |
3.4691921514962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774h1 |
Quadratic twists by: 5 |