Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950c |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-7409007199687500000 = -1 · 25 · 311 · 510 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,83375,-130596875] |
[a1,a2,a3,a4,a6] |
Generators |
[99119680185:-902030176430:208527857] |
Generators of the group modulo torsion |
j |
4102070196173039/474176460780000 |
j-invariant |
L |
3.9895101908808 |
L(r)(E,1)/r! |
Ω |
0.11135217562896 |
Real period |
R |
17.91393014257 |
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 |
113850fe1 7590z1 |
Quadratic twists by: -3 5 |