Atkin-Lehner |
5+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715h |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
376012800 |
Modular degree for the optimal curve |
Δ |
-2.0017794119529E+30 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40740844079,3165870142711581] |
[a1,a2,a3,a4,a6] |
Generators |
[-3444108:4617920147:64] |
Generators of the group modulo torsion |
j |
-63566096045658543279636520622041/17014844256669603424609375 |
j-invariant |
L |
4.5349218076706 |
L(r)(E,1)/r! |
Ω |
0.025594723106432 |
Real period |
R |
7.3825794418948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999308341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245d1 |
Quadratic twists by: -7 |