Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
33300h |
Isogeny class |
Conductor |
33300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
3692603700000000 = 28 · 36 · 58 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40800,1230500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:650:1] |
Generators of the group modulo torsion |
j |
2575826944/1266325 |
j-invariant |
L |
6.5312546064096 |
L(r)(E,1)/r! |
Ω |
0.39316804216762 |
Real period |
R |
2.7686442377163 |
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 |
3700b1 6660e1 |
Quadratic twists by: -3 5 |