Atkin-Lehner |
2- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678i |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
23689596495724544 = 236 · 7 · 113 · 37 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-961254,-362752796] |
[a1,a2,a3,a4,a6] |
j |
73800646267486411547/17798344474624 |
j-invariant |
L |
2.7445351811343 |
L(r)(E,1)/r! |
Ω |
0.15247417688801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62678a1 |
Quadratic twists by: -11 |