Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050bz |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-54482618671875000 = -1 · 23 · 34 · 510 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16963138,26889616892] |
[a1,a2,a3,a4,a6] |
Generators |
[2378:-1138:1] |
Generators of the group modulo torsion |
j |
-55276718848470565225/5579020152 |
j-invariant |
L |
11.815999199542 |
L(r)(E,1)/r! |
Ω |
0.27251122207831 |
Real period |
R |
1.806653304481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050p1 |
Quadratic twists by: 5 |