Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160o |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
43643006217090000 = 24 · 35 · 54 · 7 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-422675,105431250] |
[a1,a2,a3,a4,a6] |
Generators |
[44030:44654:125] |
Generators of the group modulo torsion |
j |
521944638679941523456/2727687888568125 |
j-invariant |
L |
6.2352543078554 |
L(r)(E,1)/r! |
Ω |
0.36242266409199 |
Real period |
R |
8.6021859631628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080ba1 |
Quadratic twists by: -4 |