Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200em |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-190356480000000000 = -1 · 219 · 37 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88125,-18418750] |
[a1,a2,a3,a4,a6] |
Generators |
[334:6948:1] |
Generators of the group modulo torsion |
j |
2595575/6528 |
j-invariant |
L |
6.5076304612223 |
L(r)(E,1)/r! |
Ω |
0.16454684677277 |
Real period |
R |
4.9436000967476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650m1 20400cd1 61200hc1 |
Quadratic twists by: -4 -3 5 |