Atkin-Lehner |
2+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94600h |
Isogeny class |
Conductor |
94600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
6991531250000 = 24 · 59 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76583,8130838] |
[a1,a2,a3,a4,a6] |
Generators |
[33:2375:1] [114:946:1] |
Generators of the group modulo torsion |
j |
1589558392832/223729 |
j-invariant |
L |
6.5275351442211 |
L(r)(E,1)/r! |
Ω |
0.72059574204469 |
Real period |
R |
2.2646314581803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94600w1 |
Quadratic twists by: 5 |