Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240p |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-2430042870838741760 = -1 · 28 · 5 · 79 · 196 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5738161,-5293072541] |
[a1,a2,a3,a4,a6] |
Generators |
[2556495969:331564375514:148877] |
Generators of the group modulo torsion |
j |
-2022644931914752/235229405 |
j-invariant |
L |
4.9393809303155 |
L(r)(E,1)/r! |
Ω |
0.048772311637511 |
Real period |
R |
12.659285474885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480l1 37240u1 |
Quadratic twists by: -4 -7 |