Atkin-Lehner |
5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60515l |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86352 |
Modular degree for the optimal curve |
Δ |
-348856932515 = -1 · 5 · 710 · 13 · 19 |
Discriminant |
Eigenvalues |
2 -1 5- 7- -4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,-29457] |
[a1,a2,a3,a4,a6] |
Generators |
[60389752871758:1188867049962897:154508367896] |
Generators of the group modulo torsion |
j |
-200704/1235 |
j-invariant |
L |
9.3007306208664 |
L(r)(E,1)/r! |
Ω |
0.40095250520095 |
Real period |
R |
23.196589372113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60515a1 |
Quadratic twists by: -7 |